Sew to the back and flip to the front. You will find the more you do the better you will get doing them by machine. My guild does quilts for the cancer centers and the machine binding are preferred as they hold up better in the commercial washers and dryers. Most people will not even examine the binding on your quilt as they are just so delighted that someone is giving them a gift from the heart, just do your best and it will be loved.
Peace, Brenda