Most construction and household debris is fine to load. The limits come from Florida law, City code, and the county's disposal rules.
Florida bars several materials from landfill disposal outright. As state law sets out, lead acid batteries may not go into a landfill and may not go into a waste-to-energy plant either, used oil is barred, white goods are barred, and yard trash is barred from lined Class I landfills unless the site runs an active gas collection system. Retailers who sell lead acid batteries have to take old ones back as trade-ins.
City code treats a long list of material as exempt from normal collection, which is another way of saying it must not go in a container: hazardous waste, biological and biomedical waste, radioactive waste, special waste, sludge, liquids, industrial process waste, electronics, used oil, lead acid batteries, and air conditioning units or other appliances holding refrigerant without a sticker confirming it has been removed.
Keep the load clean for a second reason. Mixing construction debris with household trash changes its classification under both state and City rules, which can change where the load may legally go and what it costs.
Broward County adds a duty on the road itself. County code requires anyone hauling garbage, debris or trash on county streets to cover and enclose it so nothing falls, scatters or blows out, and makes it a misdemeanor to haul an uncovered load that does. That is one reason loads are tarped.
When an item is borderline, ask your account manager before it goes in the container. Plantation's code enforcement penalties for an unlawful accumulation of exempt material run into the hundreds of dollars per citation.