Universal is a little more restrictive, but there are free lockers near the rides that don't allow a backpack. I don't know how big the lockers are, though. Most will allow a fanny pack, except for the new Mummy coaster. Why a person can't bring a fanny pack on that ride since it's a lot tamer than Dueling Dragons or Hulk, I have no idea, but there are free lockers.
Try posting in the Universal section of the boards for more detailed info about there.
T&B