Ordinary construction, demolition and renovation debris is exactly what these containers are for in Sugar Hill, and the city's rules treat it as its own stream. The restrictions are mostly about mixing and about where material ends up.
Keep construction and demolition waste separate from household waste, from commercial waste and from yard trimmings. That is a requirement in the city's rules, not a preference, and it is enforced through the separation duty on the property owner, tenant or occupier.
Keep recyclable material separate too. The city runs a parallel registration for commercial recycling, and it treats a recycling container placed where there is no waste container as presumed to be in use for waste. On a commercial fit-out producing large volumes of cardboard, set up the recycling stream properly rather than improvising.
The usual exclusions apply everywhere, in Georgia as elsewhere: liquids, fuels, solvents, wet paint, asbestos, batteries, pressurized cylinders, medical waste and anything classed as hazardous. Tires, large appliances and electronics all have their own routes and should not go into a construction load.
Georgia runs its solid waste system largely on a permit-by-rule basis and publishes no single statewide table of banned materials, so the controlling list for your job is a combination of the city's own separation rules and whatever the receiving facility is permitted to accept. Your account manager checks both before the container is delivered.
Loads also have to be secured. The city makes it an offense to operate a vehicle with a load that is not adequately secured against material dropping or shifting onto the roadway, which is why every container is tarped on every pull.