Winter storage?

[Descant]

As new products are introduced, we wonder if certain items can be left to freeze?

Large tool batteries, e.g. leaf blower, drill, etc. Is freezing harmful?
Paints--latex, oil based, etc. Freezing OK?

For many years, we have covered mattresses with newspapers, believing that mice don't like the surface. Do others do this or do something else? Or do nothing at all?

I know this is not a new discussion, but looking at new products...