Sheds : storing the veg over winter

My mother used to keep her veg in newspapers inside plastic boxes that her meat was delivered in, inside an even larger storage box (meant for garden tools) by the back door.  We always had fresh veg through winter but she kept an eye of it and rotated and used it when necessary.  Her meals weren't decided by what she fancied but by what needed to be eaten.

I currently have a large rigid cooler box by my back door just for a few to-hand things.