I cut toilet paper rolls in half so that they're just a little wider than my binding. I roll the binding onto them and hang them on a peg board behind me until I'm ready to use the binding. Since the peg is higher and at a right angle to my back I don't even take the roll off the peg. It goes over my right shoulder and onto the quilt straight from the wall. I do the same thing with up to 6" borders. It keeps them straight and untangled. It takes a little more time to wind them onto the roll but I'd rather do that than have to stop and untwist or straighten out every few feet when I'm trying to sew them on.
When doing a scrappy, Civil War, or Feed Sack Repro quilt I like to use varying lengths of all the different fabrics in the quilt for my bindings.