Having had a mat warp and not being able to 'correct it,' I now store the larger mats on the floor under my guest daybed. It can get too hot down here and I don't want to ruin another mat. My cutting table always has my Martelli mat on it, so I needn't worry about it.

ali

I never put mine away. I do store extra ones under the guest room bed,
peace

My couch is against a wall flat so behind the couch

So glad this question was posted! Several of my mats have the hole for hanging but I was worried about the warping. Right now I have them stored flat on top of a storage container but I would like for them to be more out of the way. I will try the pant hanger with the clips to see how that works. That way I can hang them on the walls to save space. I also need a method for storing my embroidery hoops. The stands made for them have them stored upright which to me would cause them to become "out of round or square or whatever". I don't like to store anything, even lightweight, on top of them but think they fare better laying flat.

I do my cutting on the kitchen counter. My large cutting board fits nicely on top of my refrigerator, which is great because there are cupboards above it, so it serves no other purpose. I also keep my larger rulers up there as well.

I keep mine on a separate table.

I store mine under the bed. Not a chance it would get warped.......Slides so easily on the carpet too. Mine is one of the large ones.
Happy Quilting

Mine stays on my cutting table, but I used to keep one behind a cabinet. Storing under something would also work.

If the mat can't be stored completely flat then it's better to stand or hang it. Be sure the weight is supported if standing so it can't bow.

I used to keep mine flat under the cedar chest. Now I just leave it on my sewing table, to the left of the machine. Works for me.