Am I allergic to cats, dogs, or both? Or is this pollen?

I was at my friends house today and her cat & dog were inside. Her cat was lying on the sofa so my friend moved her for me so I could sit. A few minutes after I sat down my eyes became watery and my nose was itchy/a little runny (not as bad as a runny nose). But we left the house after with her dog. I pet him, played with with him, etc. but no reaction. When we were in her backyard (just us) my nose was bothering me a little. My nose is really, really itchy in my school (it's really dusty and dirty there) if that helps explain anything. I'm asking because my family might be adopting a dog soon and I've previously thought I was gifted with the trait of having no allergies. I think I might have developed them. :(