Coming From Out Of Town?
The closest airports to downtown Los Angeles are LAX and Burbank Airport.
It is cheap and easy to get to Union Station/Downtown LA from either of these airports through public transportation.
From LAX: Take the FLY AWAY bus.
From Burbank: Take the Metrolink Ventura County Line from the Burbank Airport Metrolink Station to Union Station.
If you are going to rent a car, you should inquire from the hotel you are booking about their overnight parking rates. The Hotel Figueroa's parking rates are lowest ($12 a night for registered guests), the Miyako Hotel is about $20 a night, and the Standard is most expensive.