The key is to tuck them in to your pants, which should fit snugly around your hips. I have a muffin top too but I don't have any trouble except with the stiffer binders (like the underworks 997) that like to slide up and form a stiff crease on my back and sides at my waistline. But they don't exactly roll very much, just slide a bit.
Your hip size doesn't matter unless your hips are really enormously larger than your chest. For reference, mine are 40 inches, and they fit just fine in the size small and extra-small binders that I got based on chest size.