Here in the UK, in general (I don't know about the US), renting a property allows you the right to just about live there, grudgingly, and it is definitely NOT your house or home.
This is true more of the lower end of the market than the higher.
Although a lot of listings say "no pets allowed" in the UK, many will let you have a pet if you ask (if it's a large pet they're likely to ask for a higher deposit fee, but that seems fair enough).
Here in the UK, in general (I don't know about the US), renting a property allows you the right to just about live there, grudgingly, and it is definitely NOT your house or home.
This is true more of the lower end of the market than the higher.