If you have good credit and good rental history it will probably be fairly easy to find a landlord who will work with you. Landlord may consider taking payments on deposits or break up the initial rent into payments.
If credit is not so good, start saving up money for your move.
Poor credit may require offering more than the asking amount of deposit to have your application considered.
Best advice is to be up front with a landlord or property manager when calling on places. Let them know up front your situation including funds available to move and credit issues. You don't wan't to waste your time or landlords time if they can't work with your situation.
Best of luck.
Hope that helps you!
Jackie Lonneville ~ REALTOR(R)/Rental Locator
Sinmar Realty, LLC