Lease a rental storage building or RV storage spot in a secured lot. I used to lease a 20'x40' for $130 month, and I did mechanic work out of it. I had all my tools stashed in there, and after a few months, I leased the one next to it, then two covered RV spots to park my project vehicles in, or customer's when I worked on outside trucks. For you, I'd say a 10-12x25' or larger should fit your truck..... then you can go out and work on it when you get the time, no worries about anyone stealing off of it, or no HOA or city regulations on non-operational vehicles parked on the street. Not sure what rental places go for now, that was back '97-01 when I had mine, and that was a smaller town. I also got in good with the elderly owners by mowing what little grass they had and making small repairs and improvements around the place, like wiring in lighting, repairing doors, spraying weeds/grass in the gravel, shooting 'coons/skunks/trespassers... . you get the idea...
Oh, and I forgot, but after performing repairs in Texas, you have to get a completed green sheet inspection (which means it has to pass) before taking it in the county tax office with the completed forms. When transferring from states like OK, AZ, and AK you have to, too. Seems they don't have to have inspections or weight tickets in some states, but Texas requires it.
Since the DMV won't be open today, and my curiosity got the best of me, here's the California DMV website for How To: ReRegister a Salvage vehicle:
http://www.dmv.ca.gov/pubs/brochures/howto/htvr13.htm
Looks like you need the first five items,
probably not the rest if it was previously registered in CA. Good luck!!