There are some that restrict pet size, type, type of breed, and number of pets. There are also place that do not allow rentals to have pet at all. That means that if you buy a property to rent out. The renter will not be able to have pets. Then there are properties that will not allow pets.
If you have a place in mind ask me here, email me RickHoseRealtor@gmail.com , or call me at 386-527-5358. With any questions.