There are many different ways to achieve a nice binding finish. I have stitched to the front and then to the back. You can also stitch to the back and bring to front for machine stitching.
I sometimes use almost a 3/8 inch seam for binding. There is almost equal parts binding on the front & back.
Make a few practice pieces of binding, attach to a scrap quilting sandwich and see which one works for you.
Also if you can shift the needle position Left or Right it helps get that last seam right where you want it to fall.
Good Luck!