To explore the city and its surrounding areas, renting a car would be the easiest option. Los Angeles International Airport (LAX) is approximately 30 miles away, and a ride-sharing app can cost around $30-$40 one way. Parking is available at all the places mentioned, but watch out for parking fees at the mall and park.
If you have more time and love animals, head to the San Diego Zoo Safari Park, located just over two hours away. For a shorter trip, consider checking out the Old Town Pasadena which is a 20-minute drive away.
If you have less time, prioritize visiting the Huntington Library since it combines several attractions in one location. Also, you might consider skipping Santa Anita park if you are not interested in horse racing.