Sometimes the municipal trash services will offer "free pickup" or a nominal charge on bulk pickups for stuff too large for the can -- refrigerators, washers, dryers, dishwashers, water heaters, etc. tree trimmings and yard clippings furniture broken toys etc.
We just tried to get a container for pickup before the move, they recommended a bulk pickup or taking the stuff directly down to their solid waste transfer facility.
Both were free, compared to the cost of $175 + $25/ton for a container.
However their household hazzardous waste center isn't open yet, so no free chemical dump yet and the quarterly stations have been closed all year.
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Check the website for your area, to see if you have drive in access to the solid waste transfer facility in your area or a bulk pickup option.
However if you are serviced by Waste Mgmt or the other company, it'll probably cost you.