Cindy,
We have a small coat closet that gets pretty chilly, especially when the wind is in the north and west as it's on those walls. We even tape the bi-fold louvered door with painters tape along the opening and already had the inside bottom half taped up with plaxstic. It kept the potatoes and onions cool most of the winter.
For both, I store in plastic crates with air holes and put a newspaper between each layer. I push the onions back on a shelf so they don't sit right beside the potatoes.