I just recently adopted my first rabbit, and I got her from a great shelter. I strongly recommend you at least check your local shelters (they usually have website listings of their rabbits) before you decide where you get your rabbit from. That is, assuming you're not planning to breed or show rabbits in the future.
This is definitely not a knock against breeders, but plenty of purebred rabbits do end up in shelters. You'd be surprised how many rabbits each "cat and dog" shelter has. You'll find a wide selection of breeds and sizes, and also mixed breeds which are perfectly fine. The shelter I adopted from had New Zealands, English Spots, French Lops, Satins, Holland Lops, Netherland Dwarfs, Lionheads and others. My Princess Zelda is a mix, her coat is shaggier than a "normal" shorthaired rabbit. She may have some lionhead in her background. I passed up on a gorgeous bluecream harlequin female because she'd have been too stressed out around my cats and dogs.
Shelters with rabbits tend also to have rabbit-savvy staff who will help you pick out your first rabbit - including recommending a rabbit with the best type of personality for your household. They also offer post adoption support and information. You must make sure to advise anyone you plan to get a rabbit from, of ANY and ALL other pets, and any children, in your home. Not all rabbits can tolerate other animals or children around their cages. It depends on their temperament and background. Some may spook out and can break their own back in a panic.
Another huge plus of adopting from a shelter is they vet-check and neuter/spay all of their stock. You will get a rabbit who's fixed and microchipped for a nominal price. I paid $40 for my rabbit and that's in Canadian dollars. A rabbit spay alone up here is about $200.
Also, if you decide to adopt a second rabbit to bond with your first, they will let you bring in your current rabbit for meet and greets with other rabbits at the shelter to figure out which will get along with your rabbit. In fact they frequently have pre-bonded pairs available for adoption as well.
A note about dogs and rabbits - terriers have a strong prey drive, no matter what size they are. Any breed bred to hunt tends to have a higher prey drive. That said, individuals within a breed have different temperaments, and even dogs that aren't bred to hunt can have a high prey drive. Dogs can be classified in three ways when it comes to rabbits (or cats for that matter):
- rabbit safe
- rabbit trainable
- NOT rabbit safe (and never will be)
I used to own adopted ex-racing Greyhounds; one was "safe" and the other "trainable". I had to spend months training him not to kill my cats (I didn't have a rabbit yet). Now I have a teacup Chihuahua and an Italian Greyhound, both toy breeds. Guess which one needs the "safe" training? My Chi girl is half the size of my rabbit, but for now I have to physically bar her from the rabbit cage, though she's starting to respond to the verbal command "NO RABBIT!" The IG couldn't care less, and doesn't even try to look into the cage, much less sniff.