Congrats on being this far with your quilt! I iron my binding flat out from the edge of the quilt first to make a nice sharp crease, then I fold it over and either glue baste it down or use clips. I recently bought a product called "quick clips"..these little clip things shoot out from a dispenser like a Pez dispencer...works fantastically!
Good luck, most of all relax, have fun and enjoy finishing your quilt!