Question about my pet allergies!?

Ok, so I really want pet, but I'm allergic to everything! I had a dog, had to get rid of her. I'm allergic to rabbits, hamsters. Anything! And I really want a pet, any advice on what I could possibly get that wouldn't bother my allergies? I suppose the common factor is fur, dander? I'm just sick of being pet less,, I thought about a little bird but I'm sure that would do something to my allergies too.