Hi Sue,
The first quilt I made, I machine sewed the binding on both sides. I felt it turned out awful, so I ripped that whole thing out (queen size) and machine sewed the top and hand-stitched the back. The results were beautiful and I have hand-stitched ever since only because I think if you go to the time and effort of making a beautiful quilt, why ruin it with awful machine stitching. Now, if you are good at machine stitching and catching the back just right, that is different although I would still prefer a hand-stitched binding. It is just better quality, I think.
Piece and blessings, Sue,
Vicki