Doing something with the edge stitches won't keep it from curling up - it's the stockinette stitch of knit one row, purl the other that makes it does that. Here's the technical explanation
with links to her solutions. We also have a thread
Short answer - you need to work the first few rows and the edge stitches in garter (knit on both sides) or seed stitch to help tame the curling.