It depends on the pet. I think you can keep pets in all of the Emirates Apartments as long as it is nothing more exotic than a cat or dog. Killer spiders and snakes probably wouldn't go down so well. It is a good idea to drop the accommodation department an e-mail to let them know what you plan once you have signed the contract so they can make arrangements for the furry ones. Good luck with the move- I know of lots of people who have brought pets with them to Dubai and it is fairly straightforward if not fairly cheap.