When I moved I rented out my house and allow pets. Fortunately I have nice tennants with a cat and a dog, no idea what breed but they are neat freaks and in return expect me to make sure everything is totally maintained to a good standard. I did have a problem once where the real estate manager let a weed problem get out of control and then tried to get me to pay. I complained vigourously and told them to sort it. I now have a really good manager on the job who is very comprehensive in her house inspections.
I do pay quite a bit for good land lord insurance.