Standard construction and household debris is fine. The limits come from Florida rules and from which county facility can take the load.
Hazardous waste, liquids, paint, solvents, fuel, used oil and asbestos stay out of a standard container. Florida also keeps lead-acid batteries, used oil and white goods out of ordinary disposal, and in Palm Beach County lead-acid batteries are additionally barred from the waste-to-energy facilities that burn a large share of the county's stream, so a single battery in a load is a real problem here rather than a technicality.
Tires with rims, pallets and trailers are named among the materials the transfer stations will not take, so those come out of the container and are handled separately.
The county's bigger line is about bulk rather than danger. Concrete, chain link fencing, block, brick, tile, steel, rebar, roofing material, construction lumber, trusses, dirt, fill, sod and large stumps are not accepted at the transfer stations at all and must go to the landfill, and a load carrying more than a small amount of them gets rejected at the scale. It is not that you cannot dispose of them, only that the container has to be routed correctly from the outset.
Riviera Beach adds one duty worth knowing: land clearing debris has to be kept separate from ordinary service, so brush and stumps belong in their own container rather than mixed in.
Anything unusual is worth one call to your account manager before loading.