I think, in the distant past, I've heard of a cozy being something you wrap around a tea pot to maintain heat. It dawned on me that my french press (99.9% of all my brewing) doesn't steep in the ideal temp range. So I came up with a couple prototypes, this one being the second. It's only slightly more presentable, but the better coffee proves it helps.
The thin foam sheet came from an ebay package, but could be easily sourced locally. The sheet was cut so it could be folded accordian-style 5 layers, which was then rolled around the press pot beaker twice. I used a hot-melt glue gun to seal the edges and it melted the foam, not to mention I wish I would've switched to clear hobby glue instead of yellow. The bottom piece is separate, basically a circle with three tabs that get tucked beneath the sides to hold it in place.
It lacks a handle, but I can just barely hold it in one hand. Ultimately, I'd like to cover it in cloth, with a velcro-like closure for easy removal.
