..... Have you heard about increasing in rent scams ?
Get a realtor and let them find you a house and write a contract.
If you still want to look yourself: westsiderentals.com would be the best choice for LA area. They check if a listing active every week~ so info is usually up to date.
visit my site http://innaivchenko.com/ or http://innaivchenko.listingbook.com/ where you can search yourself.
It is free and no obligation.
Best way to find Rentals would be Rent.com, Craigslist.com and your local classified section of your newspaper. Unfortunately Trulia does not offer rentals on the site. I hope that points you in the right direction.
Century 21 Infinity