I think the Walking Foot is your answer. I do the flat fold French type binding.
Cut fabric at 3 1/2" widths (selvedge to selvedge), piece together at 45 degree
angle till you get length needed for continuous piece around 4 sides of top.
Fold in half, press. Then I machine stitch raw edge to backing side , mitre corners.
Fold to front side and top stitch along the folded edge. Very easy and quick, looks great.