I starch or Best Press all my quilting material before I cut & sew. That stabilizes the fabric. I tend to cut only what I need or small batches at a time. When I was younger I cut the entire quilt pieces out at once then kept the cut pieces in ziplock style baggies or boxes with a bay leaf to protect for the little critters that love starch. BTW, that was when I lived down South and critters were plentiful.
I also use a flange guide 1/4" foot on my sewing machine for all my 1/4" seams. I even have another foot that is adjustable for sewing.