I would definitely recommend waiting a few weeks as it very well could be a bug. It is my hunch it is a bug, especially since neither of you have had allergy symptoms before, but then again I am no doctor and have not seen you. I would definitely recommend going to a doc if it doesn't clear up and asking for more professional advice on the cause.
Even if it was allergies, I still recommend waiting a few weeks as your symptoms are not severe and there is a chance that your body will adjust naturally to the allergens anyway. Exposure reduces allergic reactions. That is how allergy shots work. They inject you literally with what you are allergic to in a serum.
If nothing else, if it is allergies and your symptoms are mild enough (e.g. minor stuffy nose/watery eyes/throat irritation) you don't even need allergy shots to control it. You just need a script for something like Clarinex from your doc or an over the counter med like Claritin and take it once a day!
Anyway, I really hope it isn't allergies and your new kitty can stay with you! I know you'd love that too! On the other hand, I hope if you are ill that it isn't too bad and that it will quickly pass.
P.S. Your babies are adorable!!!!
