Fly into Los Angeles Intl. (LAX), the closest airport, located 5.5 mi (8.9 km) from the city center. If you're unable to find a flight that fits your schedule, you might consider flying into Hawthorne, CA (HHR-Hawthorne Municipal), which is 6.8 mi (10.9 km) away.
You might consider catching a ride on the metro at La Cienega/Jefferson Station to easily navigate the city.