Welcome to cruise-chat. It sounds as if your cruise is leaving the same day you arrive at LAX, so you would definitely want to minimize waiting time. How many are in your party? If it's just two or three people, I'd recommend a private car service -- we were very pleased with ExecuCar, a division of SuperShuttle. When we made the reservation, we set a specific time based upon our flight arrival time, and were met in the baggage claim area by the driver.