I don't even want to think about asthma. We changed cities and surroundings: we left Taganrog for a…

I don't even want to think about asthma. We changed cities and surroundings: we left Taganrog for a couple of days to go to Rostov. Coughing only a couple of times in the morning, and yesterday after being outside, it happened again, like a little cough-cough. I don't know if it's the change in climate (although not much has changed), the dust, or maybe the absence of the hamster in the apartment. He seemed to be doing better for 3-4 days, and I'm also giving him Suprastin Ex and Nozefrin in his nose. So I'm thinking I'll have to give the hamster away. But what if it's the hamster and not the cat? To avoid the risk of allergies?