Ideally working with a REALTOR is the best place to start. They can help you not only find what you are looking for but also help present you to the landlord favorably.
If you decide to look on your own I know Westside rentals and craigslist are common areas landlords do list properties. Beware of scams on Craigslist, never wire money to an "out of area" landlord and if its to good to be true it likely is a scam. Westside rentals is more legitimate but they charge a fee.
Also, even if the listing says no pets it never hurts to ask. Especially if you leased prior and you can provide a letter from your previous landlord stating your pets are well behave.
Hopefully, these tips can help you and you can also call or email me for more info.
Please check out 4002 Artesia Blvd., Torrance that is available. Single family, all fenced, Even a fence in the front is being installed, as well as auto irrigation and landscaping. Looking for a long term tenant, can reach me at 760-963-1246... more