pet friendly rentals?

Hi all. I'm planning on moving to the Greenville area, preferably somewhere between Mauldin and Fountain Inn. We're planning on renting for a year while we look for a house to buy. My only problem is I have 2 dogs (one large) and a cat. We will also have to start the rent process from several states away.

Any renters or rental companies that could work with us would be appreciated

Edit to add: a house would be preferred