You won't have a problem in Samuel P. Taylor. The hiker/biker site is surrounded by redwoods so bring a cable to lock your bike with, either to the table or around a (big) tree. If this isn't enough, take some string or nylon line and tie one end to your bike and the other end to one of your tent poles (just don't trip over it on your way to the bathroom).
As for places along the way, just lock your bike as you would in Berkeley, as most of the trip will be along urban areas. I'd suggest also trying to keep your bike in view when you have to leave it alone, such as when you are eating. It seems a bit unlikely that you need to do much shopping for an S24O, but there you have to lock and trust a bit. I try to bring my bike into the store when I am on tour, but that might not be so easy in stores in the Bay Area.
On a multi-week tour, I don't worry much about security. Here is
an article I wrote about security on a bike tour.
Have a great time.