We just returned from our second trip to HRH and we did bring our dog (again). Dogs are only allowed in certain rooms on the first floor, so the rest of the hotel is safe from any type of pet dander.
Within the hotel, the dogs are only allowed in the room and the lobby. You won't find them by the pool, restaurants, etc.
And to the poster that doesn't want to sleep in a kennel, I don't either. The vast majority of animal owners keep their animals very clean and well groomed, not covered in urine and feces or full of various odors.
Op, I hope you have a wonderful trip.