Originally Posted by
Onebyone
You can do a backstitch at the start and end of each seam.
Unfortunately, that's not going to help since OP mentions
The directions are to do strip piecing and then to cut the strips into pieces of various lengths. This makes for a savings of time in assembly of the quilt. I find that the stitching seems to come out on the edges of the pieces that I have cut.
OP is cutting pieces AFTER stitching, so backstitching or lockstitching at the start/end of sewing two strips won't help for the edges where the strips get cut into sub-units.