Hi Parisa, your least costly option is to be someone's roommate, which will cost you in the neighborhood of $800. per month.
If you want a place of your own, the next step up is a studio ( No separate bedroom.) or a 1 or 2 bedroom place.
Here's a venue for conducting a search: http://idx.diversesolutions.com/search/9173/64#-
Just plug in your wants & needs. Good luck in your search!