Is there a natural remedy or treatment for my cat allergies?

We want to get our daughter a cat, because shes love them so much. But I’m kind of allergic, but not violently. And an outside cat in our area isnt an option. I can go to a friends house where there are cats and be fine as long as I dont touch my eyes or sit on anything with lots of fur on it. But I’m used to being careful. With my own cat, I would like to be able to hold and pet it without worrying about all the dander flying in my face. I would prefer not to take normal allergy meds, all that I have tried make me sleepy, even "non-drowsy" ones. Plus I’m not fond of the idea of taking a drug everyday. Does anyone know of any natural allergy treatments? I’ve seen them for plant allergies, but do they work for pet allergies, or is there a different thing for that? Also, is there an allergy shot that you can get?