T.F.
Tracie is right......just putting the pets outside or in another area will not change things. No matter how clean the house is, there is some pet dander in the air.
I also suggest asking the Dr. about Benedryl. We had a rabbit for 8 years that hubby and I were both allergic to. We did not get rid of daughter's rabbit because it made us miserable but we did use benedryl. We no longer have the rabbit but we do still have allergies (not dogs and we have 3 of those). We use an Rx spray Astelin which works great for us. We live on a heavily wooded lot with cedar elms and we learned it is the trees we are allergic to.
Happy Holidays!