I'm going to do a private van from Super Shuttle.
I have to admit, having never been to California, a part of me wanted to go to LAX on the off chance I might see a celebrity. Is the airport bad in terms of finding your way to baggage claim, shuttle car pick up?
LAX gets its ranking as America's worst airport because it's just... gross. It's old, dilapidated, ugly, worn out, grimy, outdated, cramped, dingy, gridlocked roadways and parking, etc.
The one exception is LAX's new International Terminal they built to handle the A380's; compared to the world's best airports it is finally acceptable, although not particularly stunning nor in the world's Top 10.
Traffic to LAX terminals and parking can be mind-numbingly gridlocked, which doesn't help the dingy, outdated facilities you eventually arrive at. It's 45 minutes to the Disneyland Hotel without traffic, 90 minutes with traffic.
John Wayne Airport is heaven compared to LAX, and about the size of an average airport in cities like Milwaukee, Salt Lake City, or Richmond. It's a bit bland in that too-tasteful Orange County way where everything is done in shades of beige and glossy marble, but it's Disneyland-clean, wonderfully managed and operated, and with every amenity a domestic traveler could want. Parking lots are 90 seconds away from a freeway on-ramp and its 20 minutes from baggage claim to the Disneyland Hotel.
Long Beach was also just remodeled a couple years ago. It's smaller than John Wayne, but more stylish. The planes are reached via air-stairs like in the 1960's, and the terminal is like an indoor-outdoor Boutique Hotel with wine bars and hip restaurants and conversation pits. It's JetBlue's west coast hub, and 25 minutes from baggage claim to the Disneyland Hotel.
Just things to consider on future SoCal visits. Locals try very hard to avoid LAX at all costs and use one of LA's four alternate domestic-service airports (although John Wayne also has flights to Mexico and Canada).