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Rabbits, cats dogs is all the same procedure. You have to have a pet passport with rabies shots up today . When you land you will show this passport to the officer and he will charge you a small fee to process them in Canada . Be careful who you fly with some won't let them go on board with you other airlines will .
 
Here you will find what you need in the way of documents: http://www.inspection.gc.ca/animals/terrestrial-animals/imports/policies/live-animals/pets/rabbits/eng/1331850639367/1331850850188

As for the transport of the rabbits, you will have to ask the airline both for cost and what kind of cages they should be in. Some airlines will allow small pets in the cabin while others will only fly them in cargo. Airlines often fly with pets so there shouldn't be a problem even if they are in cargo.
 
Thank you so much for the replies :) very much appreciated

I have seen that information. My question is specific to the requirements I pulled off the CFIA website in respect of the importation of rabbits, rather than travel concerns. I have written to the local animal health office in the area I'm hoping to relocate to with this question, as advised by the CFIA, however, I just thought I would also ask here on the chance that anybody had recently moved with rabbits, as they would likely have run into the same issue I have come across
 
Just wanted to update in case anybody is ever searching for this information, as it took quite a while for me to get a straight answer

It's been confirmed that my rabbits will not be granted access to Canada due to the fact that they have been vaccinated, current or previous vaccinations, with the combined myxomatosis and VHD vaccine. As this is the only vaccine for rabbits currently available in the UK, and vets here generally recommend it, I would imagine that anyone looking to relocate to Canada from the UK with their rabbits is going to have the same problem as me

They advised that we could keep having them tested until such time that the test shows that they have no antibodies of the vaccine remaining in their system, but a vet at the company who manufacture this vaccine has said it could be 5 or 10 years before a test would show up negative, and there is no way of guessing how long it would take. So it's basically a no if your rabbit has ever received this vaccine!