It depends on what you mean by "store". If you regard these books as irreplaceable then you might want the best possible storage conditions.I'd suggest vacuum packing. Buy a dedicated vacuum pack device along with the appropriate plastic bags. Also get some silicon gel packs to place in the bags along with the books in order to absorb moisture. You might want to include some camphor, which has been the traditional way of keeping bugs like silverfish from eating books. Once packed up, put them in secure waterproof and vermin proof container. A steel cabinet or large steel tool box would be vermin proof but might let in water, so place the packs in hard plastic containers prior to loading in cabinet or steel box.
If all that seems just to much, storing old books in hard plastic containers usually keeps them fine, but still add the camphor.
Whatever you do, don't just pack them away in cardboard boxes the corner of a shed. That's a sure way for mice to use them for making nests, and to lose them completely if the shed gets flooded. Best of luck.