You might want to interview the Owner by asking a few questions...
Remember there are good and bad owners just like tenants and it would be good to know a little be about their plans for the property... with a lease you should be OK during the lease term...
I'm getting a lot of feedback about owners becoming reluctant Landlords due to financial pressures... just be aware of your rights and responsibilities...
Some tenants even stop by the county public records office to verify the person they are dealing with is the owner and that no notice of foreclosure has been filed...
I think it is positive that the rental agreement offered is from the RHA or CAR... eliminates a lot of the unenforceable clauses and is very detailed...
Here is a very good State of California Website on Renting....
Landlord/Tenant Book Index - California Department of Consumer Affairs