Personally, I don't stitch the edges when I use fleece for a backing. I attach the binding to the front before I trim off the excess batting and backing, though. (Unless the quilt is really pulled out of shape.)
If you trim the edges first, I would zig-zag the edges before cutting so the fleece doesn't curl on you while you are attaching the binding. Hope this helps.
I can't wait to see it. :)