Really depends on what you want to do. Want a more relaxed area and some beach time after keeping a fast pace at DLR, head south to the San Diego area. We love that area. There are a bunch of great beaches up and down the coast between DLR and San Diego, San Diego Zoo and Wild Animal Park are great, and there are just a lot of things to do in that area, or you can just sit on the beach and do nothing. There are places where you can order pizza and have it delivered to you on the beach itself- we have done that many times.
If you are really into the Hollywood stuff and don't mind the traffic and hustle and bustle continuing after DLR, you can go north and go do things like Universal, the Warner Brothers Studio Tour, Griffin Observatory, Hollywood etc.
For us, going south towards San Diego is a most of the time thing, and going north is an every few years thing.