Welcome! You aren't too far from a few of us. I live only about 20 min away from Beverly Hills and so does Minacious.
Banks: Like ae86 said, the bigger ones he mentioned will probably be easier for you
Cell: I use Verizon, its good enough for me
Supermarkets: Vons, Albertsons, and Ralphs are all ok. Trader Joes has more organic type food, Gelson's is really expensive but they have harder to find stuff and a better selection of meat/fish usually
Cable: Time Warner is what I have, it might change for where you are though.
Let me know if you are ever interested in going down to the Crystal Cove car show on Sat. mornings. I usually go about once a month or so.
If you need anything else, just ask, I have lived here all my life so I am pretty familiar with everything.