I have seen all kinds of ways of doing bindings.
I started off bringing the back fabric over to the front for the binding.
Then I read that although I don't make quilts for shows, they do have some guidelines by way of some kind of standardization; so since I had no one in person to learn from, I thought that this might be some quidance I could use.
I have read that judges like to see firmly filled bindings, so I make mine pretty full with no slack areas.
And I handstitch the back side of the binding to just meet at the line of machine stitching where I attached the binding on the front, with ladder stitch.
Seems to be a workable method for me, and I like the look that it yeileds.