Southern California Quick Southern California Stop-over

[sk!mom]

We are celebrating my DH's restored health with a trip to Hawaii. We will arrive in LA early on a Monday and fly on to Hawaii late on a Tuesday. DD16 wants to use the time to see Hollywood- Chinese Theater, Rodeo Drive.

Questions-
Where to stay? A nice hotel in Hollywood?
Transportation from LAX to hotel- rent a car? Taxi?

Our return trip will be a short over night so we want a hotel that is at or very convenient to LAX. Suggestions?

Thanks!