I have a cat. How do they differ?
So, one of the issues with having a rabbit as a pet is their personalities are a lot more varied than, say, a cat or dog. That's because they haven't until relatively recently been bread for reasons outside amount of meat they produce and their coat. Personality wasn't a factor.
My rabbit (a very large mini-rex) is incredibly smart, affectionate, and confident. She knows basic verbal and physical commands, she loves people (she will sit there and lick my leg for hours if I let her, and she likes meeting new people), and she's not afraid of anything. She will chew on things if given the opportunity, so her area has been made rabbit safe, but no other behavior issues. She's also 10 years old and still in fantastic health.
She's basically a dog.
But, this is not really the norm for rabbits. None of the rabbits my friends own (and I randomly have a surprising amount of friends with rabbits) are near her level of affection, intelligence, and confidence. I'm not sure what exactly we did so right, but a constant supply of (perhaps an excessive amount of) attention and love since the moment we got her certainly helped.
If I'm allergic to cats, dogs, bird feathers would I probably be allergic to a Rex?
You very well might not be, as a Rex's coat is very different than those other animals (it's actually the result of a mutation humans have breed for).