I have made three like this. I quilt them in my usual way, which is on an embroidery machine using designs that are meant for quilting. Usually they're a single run of stitches similar to what we would do on a sewing machine. I was pleasantly surprised when I tried it because I had no problems with stretching, and the stitching shows up nicely on the fleece side. An additional benefit is the nice way they drape over a couch. They are cuddly.
Editing because I forgot to say that I bound mine just as I would other quilts.