Framing, drywall, stucco, flooring, roofing, cabinets, doors, fixtures, furniture and ordinary cleanout debris are all normal Converse loads. The exclusions come from hazardous waste law and from how the city handles particular streams.
Keep out of a Converse container: paint, thinners and solvents, part-used aerosols, pesticides, pool chemicals, antifreeze, used motor oil and filters, gasoline, propane and other pressurized cylinders, every kind of battery, fluorescent tubes, electronics and whole tires. Those have their own routes and a container is not one of them.
Converse treats brush as a stream of its own, and the code says plainly that brush may not be commingled with bulk garbage. Mixing cleared brush into a construction load is the quickest way to create a problem on a Converse job, and because brush is the one stream a business may send out with anyone, keeping it separate also keeps your cheapest option open.
Two city rules shape how the rest is stored while it waits. Bulk garbage at a business or industrial property, which the code names as including scrap lumber and construction debris, must go in a dumpster or be kept out of public view, and a tarp does not count as out of view. Trash that is noxious or offensive through odor, dust or fumes has to go to the landfill immediately rather than sit. Illegal dumping in the right of way or on public property is a class C misdemeanor with a five hundred dollar fine, and the city posts signs saying so at every street entering town.
Pull the restricted items before loading rather than after. A single refused item can turn a whole container back, and your account manager can say where each one belongs.