I lived in Long Beach and still visit there once every couple of month. I also play golf every time I am out there.
As for muni courses, some are better than the others. Once further from the downtown LA area tend to be in better shape. Once closer to downtown tends to be more run-down as they get played a lot and the maintenance guys cant' or won't keep up the course condition. For example, Chester Washington muni course is ok but not in a good shape, whereas ones in the Long Beach area are in better shape--relatively speaking of course.
Also, you'll need to get use to playing 5-somes and 5-1/2 hour to 6 hour rounds. On the weekends, unless you have early tee time, the pace of play is slow as flow of molasses.
As for the price, you can get cheap rates--again relatively speaking--if you are a resident of the city where the course is located.
For a good course, be prepared to drive (that means being stuck in traffic, after all it is LA, you know) and pay quite a bit more for your green fees. Sometimes you can get some good deals through the internet.