We have an HIPPA air purifier from germguardian. We only got it because the house we bought is really old and we didn’t want to take the chance of inhaling impurities. But it seems to help because it also has carbon in it which eliminates odors. But before we got the purifier I never noticed Sally’s scent.
You can make your own carbon filter if you want all you need is a fan to circulate the air and carbon the air will flow through and it eliminates odors really really well. You can find everything u need at a hardware store. If you are only wanting to eliminate odors building a carbon filter would really be the cheapest bet and it doesn’t add any fragrances into the air.
You can get a purifier that doesn’t emit fragrance or anything so it won’t hurt their respiratory system. It just eliminates like dust, pet dander, mold spores, smoke, and odor Stuff like that.
Your best bet is to do frequent animal maintenance and have them spayed and neutered and you shouldn’t have an issue with them smelling up your house.