First and foremost, give yourself plenty of time to look. It took me no less than a month to find various places to rent (and I moved 6 times all the while owning a gsd). As it has been said before, a resume goes a long way. The more documented training you can provide to a potential landlord, the better.
It is more difficult to find a large complex type rental than a private one. Be prepared to pay more. In fact, if you offer extra security deposit, that will show you are serious. Some places will ask for a pet deposit, but if you offer to put more down, then it might give you that little edge. If you are looking to rent from a private landlord, offering to have them meet your extremely well behaved gsd can go a long way as well.
Good luck with the search.