I have a permit to carry concealed - it is good anywhere in California. There are restrictions printed on the back of the permit.
1) Can not be carried in any establishment that serves alcoholic beverage.
2) Can not be carried while under the influence of alcoholic beverave.
3) Can not be carried on federal land, courts.
4) Must be surrendered upon request of a police officer.

That's it. I can have a half oz, and carry at the same time. And I do. Walther PPK .380

Too often the bad guys confuse civility with weakness. Sometimes it's a mistake.