The size you are able to transport will determine how much needs to be disassembled.
You transporting it yourself on a truck or trailer?
Why box at all?
A mover with a van?
How big a box will they accept? You can get or make a box that requires no disassembly.
Shipping it?
The smaller you can make the box, the cheaper it will be. So the more you disassemble, the better.
Don't fear the wrench!