Probably should look into renting a storage facility for the time being. While inconvenient for taking care of them and cost, it is worth it. The amount you will spend on renting a storage area would end up being less then taking a hit on the price of the house. The longer it's on the market the more likely you are to drop the price.
Live animals aren't allowed in basically any storage facility. It may not even be legal, but I don't know about that one.