Plus there is the Metro which, if you have a folding bike, could be quite easy to ride to the Downtown L.A. Metro station, fold bike . . . ride train to the Long Beach Metro station . . . or vice versa on the way to work.
I do a similar commute from Whittier to Norwalk on folding bike, ride Metro to Harbor Fwy Station, ride 1.1 mi. to work. Metro ticket is $1.50 each way.
Just another possible solution.
Rick / OCRR