@Skip--N-Kathy0 You check "No pets" in your house rules. Good to mention in your description as well, and reiterate in messages to guests when they request a booking.
On your entire house listing, you can't refuse service animals or so-called emotional support animals, and the guest doesn't have to disclose them when booking, but there are two questions you are allowed to ask if they do mention it, or show up with one, and standard rules regarding the animal not being left alone and being housebroken, so you should read up on those in the Airbnb info on service animals. Lots of pet owners lie about it being a service animal, so this is a common source of irritation for hosts.
In your private room listings, if you share the house with guests, you can also refuse the service animals and ESAs, so make sure to state that in your listing.