This trimming is not usually used for wreaths because this is done in late August. The cuttings in a wreath made that early would die before they would be up for sale. This trimming is to get the new growth off and shape the tree like a Christmas Tree should look to sell. One guy does the sides and another comes along and does the tops. Each tree is done separately. Some places use gas cutters to shape, others use hand tools...no matter what you use, it is very important because one wrong cut and your tree is ruined for that year.
Here is a shot of my SIL trimming with a hand tool.
This one shows one doing the sides, the other the tops and the mower mulching up the cuttings that are on the ground.
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The tree in the front is trimmed, the tree in the back is waiting to be trimmed.