shipping a rabbit costs about the same as flying a small breed puppy.
generally $150 tfor the flight, plus an airline aproved carrier (and you can ship multiple animals in 1 carrier, i know wiht pups its up to 2 in a carrier, with rabbits and smalls it may be more) plus you have to have a vet health cert...all together it generlaly costs $200 to ship whatever number of animals allowed in a small airline aproved carrier.
sometimes its actually chepaer depending on where your going to fly with them in cabin lol.
there are ground transport options also but they cost about the same.
i was looking at buying a pair of baby english lops not too long back but air transport worked out right aroudn $200 for the pair and ground wasnt much cheaper.