Van Nuys. In the San Fernando Valley, north of the hills, and one of the busiest general-aviation airports in the world. Closest to the Hollywood Sign of the main tour bases — you are over Mount Lee within a few minutes of lifting.
Hollywood Burbank. Also in the valley, also close to the Sign, and easier to reach from Pasadena and the east side. Commercial airport, so allow for the traffic around it.
Long Beach and Torrance. Down in the South Bay. Excellent for coastal routes and the harbour, a long way from Hollywood. A ten-minute flight from here does not reach the Sign, which is exactly the trap.
Fullerton. In Orange County. Fine if you are staying in Anaheim, an hour and a quarter from Santa Monica in traffic.
Match the airfield to the route and to your hotel. A cheap helicopter ride Los Angeles listing that leaves from the wrong end of the county costs you an afternoon.