It was $225 to ship Poe from New York to Florida... plus the carrier (about $35) and the cost of the Health Certificates($10 each)/Vet visits ($40). (All the airlines require Health Certificates, dated within 10 days of travel). And you have to meet strict restrictions on "tarmac temperature"... the temperature can't be over 79 F at either point of departure or arrival.
Delta Airlines was wonderful to work with, very helpful and very concerned for the welfare of the rabbit. Make sure you talk to a couple of different people before hand. Sometimes you get conflicting information. Check the airline websites. Most have the rules for pet/animal transport posted.
It does help if you can find someone driving where you need the bunny to go. (Got any "over-the-road trucker" friends?) Today, I just sent a white Flemish buck to Florida through a friend... works out much cheaper than flying.