The biggest problem I find when doing machine binding is the binding doesn't always get caught in the stitching on the back side. I saw a demo somewhere where you use Elmer's Washable School Glue to 'baste' the binding down before stitching it. To do so, run a thin bead of the glue right along the stitching line (on the back) that was formed when you sewed the binding to the front. Then bring the folded edge of the binding over that stitching line and heat set the glue with your iron. (Be sure the binding edge overlaps the stitching line by about 1/8", that assures that it will get caught in the stitching.)
Once you have glued all the way around, stitch from the front of the quilt in the ditch of the binding. Use bobbin thread that matches the binding and you'll have a nice neat finish!
Andi