diff --git a/pkg/local_object_storage/blobstor/blobstor_test.go b/pkg/local_object_storage/blobstor/blobstor_test.go
index a320ed221..5bb69316e 100644
--- a/pkg/local_object_storage/blobstor/blobstor_test.go
+++ b/pkg/local_object_storage/blobstor/blobstor_test.go
@@ -38,11 +38,11 @@ func TestCompression(t *testing.T) {
 	}
 
 	testGet := func(t *testing.T, b *BlobStor, i int) {
-		res1, err := b.GetSmall(common.GetPrm{Address: object.AddressOf(smallObj[i])})
+		res1, err := b.getSmall(common.GetPrm{Address: object.AddressOf(smallObj[i])})
 		require.NoError(t, err)
 		require.Equal(t, smallObj[i], res1.Object)
 
-		res2, err := b.GetBig(common.GetPrm{Address: object.AddressOf(bigObj[i])})
+		res2, err := b.getBig(common.GetPrm{Address: object.AddressOf(bigObj[i])})
 		require.NoError(t, err)
 		require.Equal(t, bigObj[i], res2.Object)
 	}
diff --git a/pkg/local_object_storage/blobstor/delete.go b/pkg/local_object_storage/blobstor/delete.go
index 8edfd6e1a..9ab945087 100644
--- a/pkg/local_object_storage/blobstor/delete.go
+++ b/pkg/local_object_storage/blobstor/delete.go
@@ -9,13 +9,28 @@ import (
 	apistatus "github.com/nspcc-dev/neofs-sdk-go/client/status"
 )
 
-// DeleteBig removes an object from shallow dir of BLOB storage.
+func (b *BlobStor) Delete(prm common.DeletePrm) (common.DeleteRes, error) {
+	if prm.BlobovniczaID == nil {
+		// Nothing specified, try everything.
+		res, err := b.deleteBig(prm)
+		if err == nil || !errors.As(err, new(apistatus.ObjectNotFound)) {
+			return res, err
+		}
+		return b.deleteSmall(prm)
+	}
+	if *prm.BlobovniczaID == nil {
+		return b.deleteBig(prm)
+	}
+	return b.deleteSmall(prm)
+}
+
+// deleteBig removes an object from shallow dir of BLOB storage.
 //
 // Returns any error encountered that did not allow
 // to completely remove the object.
 //
 // Returns an error of type apistatus.ObjectNotFound if there is no object to delete.
-func (b *BlobStor) DeleteBig(prm common.DeletePrm) (common.DeleteRes, error) {
+func (b *BlobStor) deleteBig(prm common.DeletePrm) (common.DeleteRes, error) {
 	err := b.fsTree.Delete(prm.Address)
 	if errors.Is(err, fstree.ErrFileNotFound) {
 		var errNotFound apistatus.ObjectNotFound
@@ -30,7 +45,7 @@ func (b *BlobStor) DeleteBig(prm common.DeletePrm) (common.DeleteRes, error) {
 	return common.DeleteRes{}, err
 }
 
-// DeleteSmall removes an object from blobovnicza of BLOB storage.
+// deleteSmall removes an object from blobovnicza of BLOB storage.
 //
 // If blobovnicza ID is not set or set to nil, BlobStor tries to
 // find and remove object from any blobovnicza.
@@ -39,6 +54,6 @@ func (b *BlobStor) DeleteBig(prm common.DeletePrm) (common.DeleteRes, error) {
 // to completely remove the object.
 //
 // Returns an error of type apistatus.ObjectNotFound if there is no object to delete.
-func (b *BlobStor) DeleteSmall(prm common.DeletePrm) (common.DeleteRes, error) {
+func (b *BlobStor) deleteSmall(prm common.DeletePrm) (common.DeleteRes, error) {
 	return b.blobovniczas.Delete(prm)
 }
diff --git a/pkg/local_object_storage/blobstor/get.go b/pkg/local_object_storage/blobstor/get.go
index 4e5514ec0..b599d0883 100644
--- a/pkg/local_object_storage/blobstor/get.go
+++ b/pkg/local_object_storage/blobstor/get.go
@@ -10,14 +10,32 @@ import (
 	objectSDK "github.com/nspcc-dev/neofs-sdk-go/object"
 )
 
-// GetBig reads the object from shallow dir of BLOB storage by address.
+// Get reads the object from b.
+// If the descriptor is present, only one sub-storage is tried,
+// Otherwise, each sub-storage is tried in order.
+func (b *BlobStor) Get(prm common.GetPrm) (common.GetRes, error) {
+	if prm.BlobovniczaID == nil {
+		// Nothing specified, try everything.
+		res, err := b.getBig(prm)
+		if err == nil || !errors.As(err, new(apistatus.ObjectNotFound)) {
+			return res, err
+		}
+		return b.getSmall(prm)
+	}
+	if *prm.BlobovniczaID == nil {
+		return b.getBig(prm)
+	}
+	return b.getSmall(prm)
+}
+
+// getBig reads the object from shallow dir of BLOB storage by address.
 //
 // Returns any error encountered that
 // did not allow to completely read the object.
 //
 // Returns an error of type apistatus.ObjectNotFound if the requested object is not
 // presented in shallow dir.
-func (b *BlobStor) GetBig(prm common.GetPrm) (common.GetRes, error) {
+func (b *BlobStor) getBig(prm common.GetPrm) (common.GetRes, error) {
 	// get compressed object data
 	data, err := b.fsTree.Get(prm)
 	if err != nil {
@@ -44,6 +62,6 @@ func (b *BlobStor) GetBig(prm common.GetPrm) (common.GetRes, error) {
 	return common.GetRes{Object: obj}, nil
 }
 
-func (b *BlobStor) GetSmall(prm common.GetPrm) (common.GetRes, error) {
+func (b *BlobStor) getSmall(prm common.GetPrm) (common.GetRes, error) {
 	return b.blobovniczas.Get(prm)
 }
diff --git a/pkg/local_object_storage/blobstor/get_range.go b/pkg/local_object_storage/blobstor/get_range.go
index 272b99e01..a0c3a4dd8 100644
--- a/pkg/local_object_storage/blobstor/get_range.go
+++ b/pkg/local_object_storage/blobstor/get_range.go
@@ -10,14 +10,32 @@ import (
 	objectSDK "github.com/nspcc-dev/neofs-sdk-go/object"
 )
 
-// GetRangeBig reads data of object payload range from shallow dir of BLOB storage.
+// GetRange reads object payload data from b.
+// If the descriptor is present, only one sub-storage is tried,
+// Otherwise, each sub-storage is tried in order.
+func (b *BlobStor) GetRange(prm common.GetRangePrm) (common.GetRangeRes, error) {
+	if prm.BlobovniczaID == nil {
+		// Nothing specified, try everything.
+		res, err := b.getRangeBig(prm)
+		if err == nil || !errors.As(err, new(apistatus.ObjectNotFound)) {
+			return res, err
+		}
+		return b.getRangeSmall(prm)
+	}
+	if *prm.BlobovniczaID == nil {
+		return b.getRangeBig(prm)
+	}
+	return b.getRangeSmall(prm)
+}
+
+// getRangeBig reads data of object payload range from shallow dir of BLOB storage.
 //
 // Returns any error encountered that
 // did not allow to completely read the object payload range.
 //
 // Returns ErrRangeOutOfBounds if the requested object range is out of bounds.
 // Returns an error of type apistatus.ObjectNotFound if object is missing.
-func (b *BlobStor) GetRangeBig(prm common.GetRangePrm) (common.GetRangeRes, error) {
+func (b *BlobStor) getRangeBig(prm common.GetRangePrm) (common.GetRangeRes, error) {
 	// get compressed object data
 	data, err := b.fsTree.Get(common.GetPrm{Address: prm.Address})
 	if err != nil {
@@ -55,7 +73,7 @@ func (b *BlobStor) GetRangeBig(prm common.GetRangePrm) (common.GetRangeRes, erro
 	}, nil
 }
 
-// GetRangeSmall reads data of object payload range from blobovnicza of BLOB storage.
+// getRangeSmall reads data of object payload range from blobovnicza of BLOB storage.
 //
 // If blobovnicza ID is not set or set to nil, BlobStor tries to get payload range
 // from any blobovnicza.
@@ -65,6 +83,6 @@ func (b *BlobStor) GetRangeBig(prm common.GetRangePrm) (common.GetRangeRes, erro
 //
 // Returns ErrRangeOutOfBounds if the requested object range is out of bounds.
 // Returns an error of type apistatus.ObjectNotFound if the requested object is missing in blobovnicza(s).
-func (b *BlobStor) GetRangeSmall(prm common.GetRangePrm) (common.GetRangeRes, error) {
+func (b *BlobStor) getRangeSmall(prm common.GetRangePrm) (common.GetRangeRes, error) {
 	return b.blobovniczas.GetRange(prm)
 }
diff --git a/pkg/local_object_storage/shard/delete.go b/pkg/local_object_storage/shard/delete.go
index 9beb5c653..140b54a54 100644
--- a/pkg/local_object_storage/shard/delete.go
+++ b/pkg/local_object_storage/shard/delete.go
@@ -77,7 +77,7 @@ func (s *Shard) Delete(prm DeletePrm) (DeleteRes, error) {
 			delSmallPrm.Address = prm.addr[i]
 			delSmallPrm.BlobovniczaID = id
 
-			_, err = s.blobStor.DeleteSmall(delSmallPrm)
+			_, err = s.blobStor.Delete(delSmallPrm)
 			if err != nil {
 				s.log.Debug("can't remove small object from blobStor",
 					zap.Stringer("object_address", prm.addr[i]),
@@ -87,11 +87,14 @@ func (s *Shard) Delete(prm DeletePrm) (DeleteRes, error) {
 			continue
 		}
 
+		var id blobovnicza.ID
+
 		// delete big object
 		var delBigPrm common.DeletePrm
 		delBigPrm.Address = prm.addr[i]
+		delBigPrm.BlobovniczaID = &id
 
-		_, err = s.blobStor.DeleteBig(delBigPrm)
+		_, err = s.blobStor.Delete(delBigPrm)
 		if err != nil {
 			s.log.Debug("can't remove big object from blobStor",
 				zap.Stringer("object_address", prm.addr[i]),
diff --git a/pkg/local_object_storage/shard/get.go b/pkg/local_object_storage/shard/get.go
index a0ecef308..457833b9d 100644
--- a/pkg/local_object_storage/shard/get.go
+++ b/pkg/local_object_storage/shard/get.go
@@ -62,26 +62,12 @@ func (r GetRes) HasMeta() bool {
 // Returns an error of type apistatus.ObjectAlreadyRemoved if the requested object has been marked as removed in shard.
 // Returns the object.ErrObjectIsExpired if the object is presented but already expired.
 func (s *Shard) Get(prm GetPrm) (GetRes, error) {
-	var big, small storFetcher
+	cb := func(stor *blobstor.BlobStor, id *blobovnicza.ID) (*objectSDK.Object, error) {
+		var getPrm common.GetPrm
+		getPrm.Address = prm.addr
+		getPrm.BlobovniczaID = id
 
-	big = func(stor *blobstor.BlobStor, _ *blobovnicza.ID) (*objectSDK.Object, error) {
-		var getBigPrm common.GetPrm
-		getBigPrm.Address = prm.addr
-
-		res, err := stor.GetBig(getBigPrm)
-		if err != nil {
-			return nil, err
-		}
-
-		return res.Object, nil
-	}
-
-	small = func(stor *blobstor.BlobStor, id *blobovnicza.ID) (*objectSDK.Object, error) {
-		var getSmallPrm common.GetPrm
-		getSmallPrm.Address = prm.addr
-		getSmallPrm.BlobovniczaID = id
-
-		res, err := stor.GetSmall(getSmallPrm)
+		res, err := stor.Get(getPrm)
 		if err != nil {
 			return nil, err
 		}
@@ -94,7 +80,7 @@ func (s *Shard) Get(prm GetPrm) (GetRes, error) {
 	}
 
 	skipMeta := prm.skipMeta || s.GetMode().NoMetabase()
-	obj, hasMeta, err := s.fetchObjectData(prm.addr, skipMeta, big, small, wc)
+	obj, hasMeta, err := s.fetchObjectData(prm.addr, skipMeta, cb, wc)
 
 	return GetRes{
 		obj:     obj,
@@ -103,7 +89,7 @@ func (s *Shard) Get(prm GetPrm) (GetRes, error) {
 }
 
 // fetchObjectData looks through writeCache and blobStor to find object.
-func (s *Shard) fetchObjectData(addr oid.Address, skipMeta bool, big, small storFetcher, wc func(w writecache.Cache) (*objectSDK.Object, error)) (*objectSDK.Object, bool, error) {
+func (s *Shard) fetchObjectData(addr oid.Address, skipMeta bool, cb storFetcher, wc func(w writecache.Cache) (*objectSDK.Object, error)) (*objectSDK.Object, bool, error) {
 	var (
 		err error
 		res *objectSDK.Object
@@ -135,11 +121,7 @@ func (s *Shard) fetchObjectData(addr oid.Address, skipMeta bool, big, small stor
 	}
 
 	if skipMeta || err != nil {
-		res, err = small(s.blobStor, nil)
-		if err == nil || IsErrOutOfRange(err) {
-			return res, false, err
-		}
-		res, err = big(s.blobStor, nil)
+		res, err = cb(s.blobStor, nil)
 		return res, false, err
 	}
 
@@ -157,11 +139,13 @@ func (s *Shard) fetchObjectData(addr oid.Address, skipMeta bool, big, small stor
 		return nil, true, fmt.Errorf("can't fetch blobovnicza id from metabase: %w", err)
 	}
 
-	if mRes.BlobovniczaID() != nil {
-		res, err = small(s.blobStor, mRes.BlobovniczaID())
-	} else {
-		res, err = big(s.blobStor, nil)
+	blobovniczaID := mRes.BlobovniczaID()
+	if blobovniczaID == nil {
+		var id blobovnicza.ID
+		blobovniczaID = &id
 	}
 
+	res, err = cb(s.blobStor, blobovniczaID)
+
 	return res, true, err
 }
diff --git a/pkg/local_object_storage/shard/range.go b/pkg/local_object_storage/shard/range.go
index 959a77898..b3160d02b 100644
--- a/pkg/local_object_storage/shard/range.go
+++ b/pkg/local_object_storage/shard/range.go
@@ -67,33 +67,14 @@ func (r RngRes) HasMeta() bool {
 // Returns an error of type apistatus.ObjectAlreadyRemoved if the requested object has been marked as removed in shard.
 // Returns the object.ErrObjectIsExpired if the object is presented but already expired.
 func (s *Shard) GetRange(prm RngPrm) (RngRes, error) {
-	var big, small storFetcher
+	cb := func(stor *blobstor.BlobStor, id *blobovnicza.ID) (*object.Object, error) {
+		var getRngPrm common.GetRangePrm
+		getRngPrm.Address = prm.addr
+		getRngPrm.Range.SetOffset(prm.off)
+		getRngPrm.Range.SetLength(prm.ln)
+		getRngPrm.BlobovniczaID = id
 
-	big = func(stor *blobstor.BlobStor, _ *blobovnicza.ID) (*object.Object, error) {
-		var getRngBigPrm common.GetRangePrm
-		getRngBigPrm.Address = prm.addr
-		getRngBigPrm.Range.SetOffset(prm.off)
-		getRngBigPrm.Range.SetLength(prm.ln)
-
-		res, err := stor.GetRangeBig(getRngBigPrm)
-		if err != nil {
-			return nil, err
-		}
-
-		obj := object.New()
-		obj.SetPayload(res.Data)
-
-		return obj, nil
-	}
-
-	small = func(stor *blobstor.BlobStor, id *blobovnicza.ID) (*object.Object, error) {
-		var getRngSmallPrm common.GetRangePrm
-		getRngSmallPrm.Address = prm.addr
-		getRngSmallPrm.Range.SetOffset(prm.off)
-		getRngSmallPrm.Range.SetLength(prm.ln)
-		getRngSmallPrm.BlobovniczaID = id
-
-		res, err := stor.GetRangeSmall(getRngSmallPrm)
+		res, err := stor.GetRange(getRngPrm)
 		if err != nil {
 			return nil, err
 		}
@@ -123,7 +104,7 @@ func (s *Shard) GetRange(prm RngPrm) (RngRes, error) {
 	}
 
 	skipMeta := prm.skipMeta || s.GetMode().NoMetabase()
-	obj, hasMeta, err := s.fetchObjectData(prm.addr, skipMeta, big, small, wc)
+	obj, hasMeta, err := s.fetchObjectData(prm.addr, skipMeta, cb, wc)
 
 	return RngRes{
 		obj:     obj,