Well said Pete & Pat! However many pet policies are vague ("Pets permitted"). Species, breed and number are omitted.
I'm finding in my hoteling/RV/camping travels that the pet policy is flexible, as I politely inquire prior to each stay, and demonstrate my commitment. I also write a "many thanks" follow-up to each campground and establishment we visit, thanking them for being pet-friendly.
From my experience, hotels have a flexible 2-pet limit (yes, I hotel'ed with the pets - back in the days of traveling with my [late] Mom). I once paid for two rooms in Medford OR because of the third dog. However en route to OR, stopping overnight in Elk Grove CA , a hotelier said "you're the only customer not asking for a discount of some kind - I'm somehow not seeing the third dog." It was all well worth it for the family stories!!
I am learning not to be deterred by "pet policy." Simply ask in advance, always be respectful of your neighbors, and always be kind to the staff.