I live in Long Beach and I've ridden and commuted all over the city. I would say the whole city is very bikeable. Between the San Gabriel River Trail, LA River trail, the strand on the beach, PCH, and major arterials you can get anywhere in the city by bike without a problem (depending on your comfort riding in the street). If I worked anywhere in the city I wouldn't even think about driving to work, I work 20 miles away and commute by bike as much as possible.