South Gate is easily accessible by car (rental, taxi or ride-sharing). If you don't have your own vehicle, you can get around by using the city's bus service or metro lines. A day pass costs $5 and allows one passenger to travel all day.
If you have more time, add a visit to the Downey Museum of Art or The Bicycle Casino in Bell Gardens. If you have less time, you can skip the Watts Towers Arts Center or the Azalea Shopping Center. Always check the opening and closing times of the places you plan to visit, and make sure to bring comfortable shoes and sunscreen.