Welcome to CA and to the East Bay, Lavender Girl.
And Welcome to The Firing Line as well.
As to the SIG, check the california Roster of guns,
http://certguns.doj.ca.gov/
If your gun is on the list, you will have no trouble filling in the needed paperwork when you arrive. If it isn't, do not try!
Forget Concealed Carry. You are moving into Alameda county, home to 1.5 million people who are even MORE hippy/socialist/liberal than San Fransisco, with less than 200 active concealed carry permits. Won't happen.
You should enroll in the California Guns Forum.
http://www.calguns.net/
It's an active bunch of people I respect as much as those here on TFL, with lots of in-depth knowledge and timely chatter about Bay Area activities and conditions. Anything I might say here is just an introductory sketch compared to what's waiting for you there.
Two shooting places right in your front yard are Chabot (in the hills behind San Leandro) and The San Leandro "Optimists" range at the Bay end of Davis Street.
http://slrange.tripod.com/ http://www.chabotgunclub.com/
As you get used to the area and are willing to commute more, you will find others.
I hope you've done your homework before moving there, though.
Cost of living in this area is prohibitive. Most companies have real problems trying to hire from out of area -- the candidates cannot affor to move in here.
My daughter is paying $1350 per month rent on a small 2BR apartment in a huge complex, and this is considered relatively low cost housing.
CA income taxes run 8-10% and Alameda county Sales Tax is 8.75%.
Good luck
Fud