Most debris from a home project can go in your container. The limits come from Florida law and from the county facilities that take the load.
Florida doesn't allow whole tires to be buried in a landfill. That's why the county charges more for whole tires than for shredded ones, and why tires should stay out of your dumpster.
Hazardous waste, liquids, paint, solvents, fuel, and asbestos can't go in a standard dumpster either. Pesticides, pool chemicals, and propane tanks belong at a household hazardous waste site instead. The county's collection facility is on North Jog Road in West Palm Beach.
The county's transfer stations won't take concrete, block, brick, tile, roofing, construction lumber, dirt, or stumps. Those materials go straight to the landfill, so heavy construction loads are handled differently from household cleanouts.
If something on your list gives you pause, ask your account manager before you load it.