If timing is tight, I'd suggest a private car service. We used ExecuCar at LAX. It is a division of Super Shuttle. We were met just before we got to baggage claim, and were out of the airport within minutes of getting our bags. And, there was no waiting for other passengers as will often happen with a shuttle. As f-mattox said, you should be fine with a shuttle if your flight arrives before 1:00 pm, so this is an option you might consider if you have a later flight. The price wasn't bad, either. You will need to reserve in advance.