I'm sorry about your allergies, that must be so aggravating
Maybe you could get your kiddos a stroller, so you can take them for walks without tracking allergens inside? You could wipe the wheels down before bringing the stroller back inside.
I just ordered one for my babies, as we weren't allowed on the playing field at my daughter's soccer game yesterday. Let them stop me with the girls in the stroller HAH! They'll have a discrimination lawsuit on their hands