In addition to Craigs list you can google short term or corporate housing/Los Angeles. There are a number of apartment complexes that specialize in short term housing. Your son would only need a studio or single apartment. One of those that offers short term housing in furnished apartments with very nice amenities including heated pools, gyms, tennis courts etc, is the Oakwood apartments with several locations around LA. You can google the Oakwood apartments also. Be prepared to pay much more than you would in Miami.