I'll avoid the minefield above, and go to the items in question:
Here, for refrigerators and freezers, the
freon must be evacuated or all of the "plumbing" must be removed by a qualified shop (Lines would be evacuated before removal). I have absolutely no clue on New Zealand laws, though. I'd check with the yard.
I don't know what type of station wagon you have, but I can load my Audi wagon with some really large items. Breaking it down will give you a lot more space to do it. I don't know what the removal situation is, but if you can, everything that you can remove reduces the weight. If you remove the barrel, a lot of the smaller parts would fit in there, leaving you with just the panels. A torch or saw can resize them as needed....
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