I would have the UPS or Fedex outlet people pack it, and have it insured, if I was the sender.
If I was the reciever, then it's all up to the sender.
I had a sender thought that Walmart plastic bags were good packing material, and he stuffed a hundred of them around a 50lbs amp, needless to say, the amp shifted in the box and hit something hard, and ended up with a bent corner and a broken knob.
When I purchased my 90lb subwoofer, I called the UPS outlet in CT, got the shipping quote with insurance from them, and told them what I needed to ship, then I called the sender, had him dropped it off there, then called the UPS outlet again while they were packing it, and gave me an update on the progress. Then paid them over the phone.
When the sub arrived, I watched the UPS driver slid it off his truck very gently onto the dolly, then together we lift it in the house. The shipper and the driver both did an outstanding job handling my sub. This sub is a collector's item now.
In this case, I woould collect all the document and go through the court process with Fedex.