Lumber, drywall, plaster, roofing, flooring, cabinets, fixtures, furniture, and general cleanout junk are all fine. The limits come from California's list of material banned from the trash and from what the sorting plants will accept.
CalRecycle keeps hazardous material out of the garbage statewide. Paint, solvents, pesticides, pool chemicals, antifreeze, motor oil, batteries of every kind, fluorescent and LED lamps, propane tanks, and all electronics are on that list. Televisions, monitors, computers, printers, and microwaves need an e-waste drop-off.
Two items catch Alameda remodels in particular. Treated wood, the preserved lumber used in decks, fences, and raised beds, counts as hazardous waste in California and cannot go in a standard container. Asbestos is common in pre-1980 island housing, in old flooring, pipe wrap, and siding, and it has to be handled and disposed of separately by a licensed abatement contractor.
City rules add a few of their own. A container has to stay closed with a close-fitting cover when it is not in use, it must not be filled above the fill line, and a load that is unsafe to lift or overweight can be refused at pickup. Construction sites are also required to keep containers on site for workers rather than letting debris pile loose.
Ask your account manager about anything unusual before it goes in, and we will arrange the right disposal for it.