I've been to rpr and hrh when I have seen pets
At rpr, those with pets stay in Tower 2 and have a designated area to walk them
Hrh has a lovely section also for pet walking and all with pets are located in rooms at one wing, first floor.
Both of those hotels have the doggy bag stations.
The times I have been at pbh, did not see any pets.
At check in, you will be given a treat bag for your pet.
Cat or Dog, they have provisions for them as a gift.