Is this possibly a developing dog allergy?

I (23f) been around dogs for all my life, and before never felt any kind of way at all.

I have 4 small dogs and at first I felt fine. I let them sleep on the bed and everything. But gradually, something has been changing. Now initially, it started with my back itching and breaking out when they would sleep on the bed. Then as time went on I would wake up sneezing. As a test, I made them sleep elsewhere the night afterwards and it didn't happen.

But over the past few months, I find myself sneezing more often when I get too close to them and my nose gets clogged even if I do something simple as petting them. My eyes water and I cough. I have used different shampoos for them just to see if it was that but it never changes. And it's worse when fur flies around. I end up sneezing and blowing my nose nearly all day.

Is it possible I'm developing an allergy to dogs?