Hello sir.
I'm a fellow CA resident.
Check out Jim March's site for all the CA law info you want. Yes, its all regarding weapons.
http://www.equalccw.com/
In CA it already is legal to carry a fixed blade, so long as it is not concealed. You can also carry ANY SIZE folding knife as long as it is not carried locked open. i.e.; you must carry it folded.
Keep in mind of course, that if you walk around with a huge fixed blade in some uber-tactical shoulder rig or similar, you will probably get hassled by the cops. Not to mention all the stares. AFAIK, there aren't any restrictions on HOW you carry a FB in CA, so long as it is not concealed.
Frankly, your skin color and personal appearance will definitely have a bearing on your experience too. A mexican dressed like a gangbanger will likely get arrested or hassled a lot, whereas a white guy in a suit will probably just get asked why he's carrying that, if that. Obviously you'd look pretty funky carrying a large FB with a suit, but whatever...
Might I ask why you would want to carry a large fixed blade? I hope I don't have to tell you that a blade should be a last resort for a defensive weapon, and if you carry a FB with such a use in mind, you will most likely get busted for something, whether you are carrying it legally or not.
Hope this helps.