Re: Relocating to SoCal to liveaboard - have a catch 22...
Check with the marinas, as that range of slip most likely has a waiting list. Most marinas only require pictures and insurance once you actually have a slip. Most marinas only allow a set number of liveaboards and will tack on a liveaboard fee to the regular slip fee. And to complicate things even more, some marinas like Long Beach, require you to be in the marina first before you go on the liveaboard waiting list.
San Pedro has a new marina (Cabrillo Way Marina) that should be fully open by the time you are planning to move, and there are a couple more marinas in the area. And Wilmington offers some availability.