The City of Chico requires a building permit for altering, repairing or improving a building, apart from a list of exemptions, and that rule alone doesn't settle whether your basement job needs one. We check before we start. If it does, we handle the application and inspection with the city or county office that covers your address and tell you which one that is. The city's building permit information is there too.
In California, someone without a contractor's license can only take a job under the state's $1,000 limit, and only when it needs no permit and they have nobody working for them. The city also asks a contractor for a City of Chico business license number and a state contractor's license number when they first apply for a permit, so ask every bidder for both.
We're based in Chico and do the same work in the cities around it, including Durham and Oroville. Many of the basements we're called to sit under older homes and hold the water heater or furnace, so that gas appliance check comes up a lot.