Most debris from a remodel or cleanout is fine. The limits come from California's trash bans and from what the landfill accepts.
California makes it illegal to throw hazardous waste in the garbage. CalRecycle lists batteries, fluorescent lights, paint, solvents, pesticides, pool chemicals, antifreeze, motor oil, propane tanks, and electronics among the banned items. Treated wood and asbestos have special rules, and tires can't go in the trash either.
Hazardous waste, liquids, and fuel are off limits in a standard dumpster too.
Salinas residents have an easy place for those items. The Authority's Household Hazardous Waste Facility on Madison Lane takes them free for households in its service area, up to 15 gallons or 125 pounds every 30 days.
If you're not sure about something, ask your account manager before it goes in.