Ask around Kern County and the same issue comes up for same-day dumpster rental: an immediate drop, subject to whether a truck happens to have a gap. A job in Bodfish draws on the same fleet that services Kern County, which is why the price shifts depending on which side of town you're on. Bodfish sits inside the service area haulers built around Kern County, and proximity to that base is what changes the number.
A whole-house cleanout combines light junk with the occasional heavy piece, so plan around whichever runs out first, the space or the weight allowance, since either one can end the load early. Get the swap-out cost in writing if the project runs past the rental window -- a second container costs less mid-job than a rush order arranged after the fact. The choice you are actually making in Bodfish comes down to this: availability collapses after storms and at month end, when every hauler is already committed.
Where the debris goes matters as much as where it comes from: material out of Bodfish routes to strict diversion requirements and widespread C&D recycling. Housing stock across West tends to be pre-war bungalows through 1960s-70s slab tracts, and that age is what shows up in the debris more than the size of the project. In Kern County, a 10 or 20 yard container handles most same-day work, sized to the weight of the debris rather than the square footage it came from. In Kern County, this job typically lands with anyone on a compressed timeline. Street placement is where the paperwork starts: expect city encroachment permits, CalRecycle diversion reporting before the box touches public sidewalk. Check with the HOA before the container lands in the driveway. Some communities cap how many days it can sit there.