How to move jigsaw puzzles from one place to another?

I have like 200 puzzles that are a 1000 pieces each. None of the puzzles are in picture frames or mounted on foam board they are just glued on the front of the puzzles. How should I wrap and store the puzzles so they don't get scratched, broken or torn when moving them from place to another?
Update: I'm looking for a cheap way to fo this. I do a lot of shape jigsaw puzzles so most are not the typical square or rectangle shape. like one shape puzzle is 26 x 37 another is 23 x 26. A lot of puzzles are big sized.
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