Generally speaking, owners require an application for each adult, accompanied by a non-refundable fee, usually $35-$50. A security deposit equal to one month's rent is common. You will also allow your prospective landlord to contact your employer and past homeowners who've rented to you. A favorable credit report would also be of great help. You can supply your own by going to http://www.annualcreditreport.com. It's free, and there's no requirement to sign up for any services.
I hope this helps ... best of luck to you.