I do all three--baby and charity quilts binding is machine sewn to the back and machine stitched down on the front. Some quilts just look better with a flange style binding and I will stitch it down using a thread matching the flange. I have actually started cutting some of my bindings at 2 inches wide. I noticed that my Pfaff seems to sew quite a scant 1/4 inch seam and the 2 inch binding looks very neat when hand stitched to the back.
It really comes down to what you are most comfortable doing. Quilting is supposed to be fun. Having said that--I have a king sized quilt that needs the hand sewing finished but it is dark on dark with dark thread and I am having trouble seeing it except in natural light in the late afternoon. It is taking forever but it will look right!