Below are helpful links to various websites to navigate Los Angeles via public transportation and one of the primary sources of entertainment in Downtown Los Angeles:
LA Metro: for rail and bus schedules, metro maps and trip planners: http://www.metro.net/.
Metrolink: for schedules, maps and a trip planner for LA’s commuter rail: http://www.metrolinktrains.com/.
Amtrak: Amtrak connects all of Southern California via its Pacific Surfliner line from Santa Barbara, to Downtown Los Angeles, to Orange County (specifically, Fullerton, Anaheim, Irvine and San Clemente) and San Diego: http://www.amtrak.com/home.
Bell Cab http://www.labellcab.com/
LA Yellow Cab http://www.layellowcab.com/
United Taxi http://www.unitedtaxi.com/
LAX Flyaway is a shuttle bus service that transports passengers non-stop to and from LAX. Currently, there are five nonstop routes in service (Downtown LA/Union Station, Van Nuys, Westwood, Santa Monica and Hollywood) with separate schedules: http://www.lawa.org/FlyAway/Default.aspx.
Staples Center: for Lakers, Clippers, Kings and many concerts: http://www.staplescenter.com/.