Ordinary construction and household debris is fine: framing, drywall, stucco, roofing, flooring, cabinets, fencing, furniture and cleanout junk.
California keeps a long list of material out of the trash altogether. Paint, solvents, motor oil and oil filters, every type of battery, fluorescent tubes and other mercury-containing lamps, and electronics all have to be handled separately. CalRecycle publishes the statewide list of what is banned from the trash, and it binds you as the generator, not only the landfill.
Asbestos, liquids of any kind, pressurized cylinders and contaminated soil are also out. Older El Cajon houses are exactly the age where asbestos can turn up in flooring mastic and duct wrap, so test before you demolish rather than after.
The receiving landfill publishes its own refusal list on top of the state one, and a single banned item can get a whole load turned away at the scale.
When something is borderline, ask your account manager before it goes in. That call costs nothing and a rejected load costs a day.