When you rent a home how long does it usually take for you to move in

Recently there was a fire at my house and my family dedcided to look for and rent a home since we don't have the money to buy one. I was wondering how long does it usually take to move into a rented house and do they allow pets?

It really depends on the person you are renting the house/apartment from, it could be days or months, I would talk to the landowner to clear things up..
Some land owners do allow pets it depends..