Hey, everyone has been in the same position and I found out last year that the Hotel deals in New York website offers a deal for September a.k.a the first month in your new city. I used it for New York, but there are maybe deals for other cities too. For me, it was -30% when I showed my ID. If they'd give you a deal on the second month, I cannot tell, because I got a place in a dorm by the end of September.