Perhaps I just don't like cat's because I'm allergic to them...

Never stopped anyone in my family. I and most of the rest of us are all allergic to cats, but I've found that if you get them while they are still young, you kind of build an individual immunity to their allergens. I still get kind of itchy around cats I don't live with, but my two don't give me trouble.
Besides, you can't help but love cats. They have so many personality quirks.
And anyway, I've met a few sweet dogs, I'll admit, but I do not like dogs in general. I do not like being jumped on, licked, or barked at.