Redondo Beach has a pretty nice pier to check out. People are fishing off the pier in a designated area but I'm not sure the fish off the Los Angeles coast is all that edible. Mercury levels are known to be extremely high in these fish. Anyway, besides the fishing, there are a number of restaurants to check out and the beaches seem quite nice to hang out at.
One of the best piers in Southern California and a destination for Los Angelenos on the weekends. It is a huge multi-level pier - wraps around the little inlet and dock. The kids will probably find the arcade on the lower level just to the right of the dock and some interesting little shops line the dock area where you can hop on a small tour boat for an ocean adventure.
This is the only time you will find serenity at Redondo Beach by the Pier - very early in the morning - with not a person nearby.