I live in North Carolina where winters are mild. Rarely are there long stretches of below freezing temperatures. My shop is in an unheated garage, a hundred feet from the house. It fell into disuse a number of years ago, and when I revived it last Spring I threw out all the latex paint, Elmer's glue, etc. on the assumption that, at some time, it had been frozen. I've been restocking, and now that Fall is here I'm thinking of ways to keep the new stuff from freezing.
Simply store stuff in an old refrigerator? An ice chest? Build an insulated cabinet with a temperature-controlled heat lamp?
Or maybe not worry about it. I haven't actually seen anything frozen, but then, when I wasn't using the shop, I didn't go out there for months at a time, so wouldn't have noticed.
Moving the stuff into the house wouldn't be convenient because of the distance to the garage.