CA Penal Code 12025 deals with concealed weapons. PC 12031 deals with having a loaded firearm.
Both of those codes explicitly have exemptions for temporary residences, so in my opinion, yes you are good for both concealed and loaded while your rig is in 'residence mode' so to speak.
The only hitch that I can think of is the CA Gun Free School Zone; PC 626.9. Off the top of my head I can't think of an exemption for a temporary residence. There is an exemption for Private Property. In theory that statute also requires that you 'know or reasonably should know' that the school is present. Currently we have one member here convicted (and appealing)the GFSZ even though he 'didn't know' and he was on private property.
CA Penal Codes are available online here: http://leginfo.ca.gov/calaw.html