yes you just need to show your bank statement and your old job history. The goal is to show landlord that you can afford to be job hunting and cover your rent for 3 months, etc.
Please let me know if you need any help.
You can search for rental at http://www.findyourtexashome.com/leasing
I personally would not want you to waste applications fees and time looking for a place only to be turned down.
LA is not that far away.....make a couple of trips, lock down some type of job, even if it is not your final destination first, then move is my advice.
Please feel free to contact me anytime.
Brent Rice, Trulia Top Recommended Broker (Pro & VIP)
The Rice Group, Inc.
I agree that it depends on the landlord, but it is possible. I would love to help you find a rental. Feel free to call or email me if I can be of assistance.
Bradley Real Estate Brokerage