hey i have worked in the shipping industry before, more precisely, as a freight forwarder.
If you are shipping this, this would be classified as loose cargo, or LCL less than container load.
Typically, a consolidator would collect loose cargoes from various shippers and stuff it into a container before shipping the container out.
If you are doing this by sea, you would need a bill of lading, your forwarder may ask you information like cargo description, shipper title and address, consignee title and address and notify party title and address.
And I am not sure what you mean by heavy, since weight is often compared to the cargo volume to see if its overweight. For example, around my area, a 20 foot container is considered overweight if it weighs more than 20 tons. It depends from location to location or from carrier to carrier.
You might consider just trucking it all the way or by rail or something.