It's mostly the cage that'll take up space, but if s/he is fine running loose, I can bring the rest over now if I use the bike trailer. A lot of people have house rabbits that are cageless like a cat or a dog, if you can rabbit-proof your place. If you can't do the whole place, you can even either section off a spot or confine him/her to a room when you can't watch him/her.
Controlling the pet population is definitely a good thing! What's your address again?