I don't rent, but I know people who do...

My sister-in-law rents an apartment. She has a cat and 4 parakeets, but when she moved in she also had a dog (who has since passed away). Her dog was a cocker mix. She had to have the dog interviewed before she could move in with him.

My friend rents a house with a cocker and 3 cats. She originally was looking at apartments but had a hard time finding a place that would allow her to bring 4 pets. Most of the apartments she found had either size or breed restrictions.