I use the Sterilite brand hard tote, it's got wheels and a handle. I keep my TB in it and can carry it easily like a suitcase:
You can only find them at Walmarts, they come in blue, black or gray. I actually have pretty much all my costumes in one this size, I can fit TB, Shadow Scout, Custom Mando, Tie Fighter, Jedi, Armored Jedi, and all three of my sons in one (and all include helmet inside as well)