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Please feel free to discuss any aspect of 1/72 scale plastic figures, not simply Strelets.
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Not as big a task as yours but when I moved some figures a few years ago, I layered them in layers of toilet paper. I did have the advantage that I was not having to pay for it and my collection was small. With a lid on the container holding the last sheet firmly but gently in place, there was no movement.
A wad of Polyfill stuffed in the plastic container works wonders to keep your painted figures safe. You can get it at most craft stores.