are you getting a car?
when i stay in pasadena, i never get a car, and flying in/out of LAX is easier: just take the flyaway bus to union station ($7) and the gold line to pasadena (del mar is probably the best station for the sheraton). you could also take the green line shuttle and then ride metro green -> blue -> red -> gold, but i think that may actually cost more than flyaway, takes much longer, and has all the hassles of changing trains often.