All car rentals places at LAX have free shuttle service to and from the airport. Hertz, Avis, National, Enterprise, Thrifty, Budget. When you arrive just go outside to the overhead sign that says Car Rental Shuttles.
I think Jolly Wheels can have someone pick you up right at the terminal at LAXTry Jolly Wheels Rent A Car http://www.jollywheels.com
All the major ones are convenient. Just like WoE, I ve never had a problem with Enterprise, and have stuck with them.
I never had a problem with Enterprise