If you are leaving it for two weeks, want covered parking, and don't mind paying $10+ a day, the Hilton is fine too. I've parked there. You can also try Park One (right next to Terminal 1 ...about $13 a day with tax uncovered), WallyPark(covered
www.wallypark.com ). You can get uncovered parking though, for as cheap as $5 a day out at Lot B in the Airport Parking Area. It just depends upon how much you want to pay. Try visiting
http://www.airwise.com/airports/us/LAX/index.html