I am dog person but have mild allergies to dogs, so I just take med., and dogs aren't allowed upstairs, in bedroom. We also have filters on vacuum and w/furnace.
Tested very allergic to cats, but seem to be able to be around cats sporadically and handle it okay, nothing severe. But since we don't have cats and I don't know anyone personally who I see routinely at their residence w/cats, I don't know if continued/daily exposure to cats would become a serious issue as time went on.
I have volunteered extensively at shelters but worked mostly with dogs and had no problem. I DID have issue handling small pets and their bedding one time, it was in Summer and I also have Summer allergies. Also allergic to horses but it didn't prevent me from learning to ride. But I don't know if I could actually have horses or work in stable.