I would just toss them in a cabinet or closet.
Question about refrigerating/freezing. What do you do about moisture?
I heard to keep your batteries in the fridge years ago, but that was about Duracells. Did an experiment, the ones from the fridge were dead after a year, the ones in the cabinet were fine, and yes I let the fridge ones warm to room temp. Both quantities of batteries purchased at the same time. There were 8 for each place.