I think that a you are more likely to have problems with a dog that has been bred for coursing. You are less likely to have probs with a herding or companion dog. However as the others have said, virtually any dog will be OK, if you are teach your new pet well.

You can read via (say) Smiths or library the temperament and history of the breed before you get a dog.

I fact it is a good idea to do this whether you have a rabbit or not.

Also remember that dogs and cats can be possesive about their food. So careful Bunny is sniffing round Rover's food