I do a great deal of rental business. The answer to your question depends on your situation. Why are you not employed? Are you looking for a new job in your new location? Are you going to school? Most landlords I work with ask for two things, credit report and employent verification. I tell mine to also ask for eviction history and criminal background check. If you can show you are financially secure, i.e., you have money in savings to cover your living expenses, and a good rental history you should be OK.
I would recommend you work with a realtor, however, who can plead your cause and act as an intermediary between you and the landlord. But, again, please be aware here in New Jersey it is not unusual for the landlord to ask the tenant to pay the realtors' fee, which can be as much as one month's rent or even 10% of the gross amount of the lease. Of course, this is completely negotiable, so when you find a place you like you can make an offer to the owner that either the owner pays the fee or you split the fee with them. Still, I don't like surprises when it comes to money so I like my tenants to be aware of the situation.
Good Luck, if I can ever be of assistance, please don't hesitate to contact me here on Trulia.