How to Store Cherries. Had a friend ask me the other day if I wanted some cherries from their cherry tree to make a pie? I wasn’t planning on making a pie anytime soon (I had just finished a blackberry not two days before with the family), but I also found it difficult to refuse such a generous offer?! ABSOLUTELY! Problem was, since I wasn’t immediately planning on making a pie, I should probably look at storing them for a little while so they don’t go bad? Question was, how?