The real decision behind storm debris cleanup in Kern County is a whole area competing for the same trucks in the same days after a weather event. You would be in familiar company: homeowners after severe weather handle this more than anyone. California City doesn't have its own dedicated fleet; it's served by haulers whose main territory is Kern County.
The company that answers for California City is likely already running routes through Kern County, which is why neighboring towns don't all get the same price. Nobody knows the full debris count until the work is underway, so it's worth asking what a swap or a second pickup costs before committing to one size. Ask what the cancellation window looks like if the delivery date needs to move. Some yards charge nothing with a day's notice, others charge a restocking fee.
California City has one quirk worth knowing before the truck shows up: city often collect vegetation free after a declared event, so it should not fill a paid container. California adds a scheduling wrinkle of its own: dry summers with winter rain and a long fire season, and that's what determines which weeks book out first. California City's waste ends up at strict diversion requirements and widespread C&D recycling, and what that facility accepts is part of what determines the container size, not just the job itself. 20 or 30 yards is the going size for storm debris across California City, set by what the debris weighs rather than what the project looked like. Private sidewalk asks nothing of you; city sidewalk asks for city encroachment permits, CalRecycle diversion reporting first. A container blocking a fire hydrant or mailbox gets flagged by the city faster than one that's simply in the way.