Back in 2009, we imported six angora rabbits to Hawaii. Which is pretty much a 3,000 mile flight since we're an island in the middle of nowhere. (It's a nice nowhere, but still far away from just about everything else) The seller put them in a medium sized airline kennel with a wooden plate between the top and bottom halves of the shipping kennel so the does could be put on one level and the bucks on another. There were six rabbits shipped in that kennel and that's pretty much been the base for our rabbitry since 2009. It was really expensive, but sales of babies paid for it within a year.
I'd split the cost with a friend, we were going to each raise rabbits and then swap offspring back and forth to keep the lines from being too inbred, but she decided she didn't like rabbits after they arrived, so I ended up buying her out and paying for the entire shipment.
In our case, we were bringing the rabbits from one place in the country to another. We had some veterinary certificates necessary and finding an airline that would carry them, but that was all the regulations we had to deal with. If you're bringing rabbits across international boundaries, then there's probably lots more paperwork of some sort.
Perhaps, instead of bringing in multiple breeds all at the same time, one breed could be brought in and then babies sold to pay for the next breed to be brought in?
