Most debris from a remodel or cleanout is fine to load. California's disposal rules and the landfill's own limits set the boundaries.
CalRecycle says it's illegal to put hazardous waste in the garbage. The state's banned list covers fluorescent lamps and tubes, every kind of battery, paint and solvents, aerosol cans that aren't empty, motor oil and filters, antifreeze, tires, pesticides, propane and other gas cylinders, asbestos, treated wood, and electronics.
In practice, that means no hazardous waste, liquids, paint, solvents, fuel, or asbestos in your container. Used mattresses have their own statewide take-back program, so they're better dropped at a collection site than tossed in a load.
Scholl Canyon has one more rule that matters here. The Sanitation Districts' fee page says the landfill can't accept disaster-related waste, including green waste from high winds, and it charges at least $500 when such waste arrives anyway. If your cleanup follows a storm or fire, tell your account manager so the load goes to a site that can take it.
Unsure about an item? Your account manager can check before it goes in the container.