Our Swedish friend is correct, the first key in apple storage is to have apples that are suited for storage. For the most part, the apples NOT suited for storage have come and gone, the Lodi and Transparants. Still, this season has a real ringer out there, as LAZ mentioned, I believe, in another thread, the McIntosh. The best advice, I believe, as to whether you have the right keepers is to ask the farmer. He or she will know which ones are best for the long run.
In the other apple thread, LAZ (I think) also added, "these days who needs to put away their own apples." I never got around to answering that, but there are three responses: first, if local food is important to you, for whatever reason, you want to ensure your supply of local food; second, if you want access to the best and most varied apples, now is the time to get them. There will be apples in the markets for many months ahead, but over time, you choices become quite limited--red delicious anyone? Finally, as I will soon write on thelocalbeet.com, apples are at their cheapest now. Caputo's has 1/2 bushels of Michigan apples for $14. At the OP Farmer's Market the other day, we picked up the same size of Mutsu's (excellent for baking) for the same price. So, there are very good reasons to get many apples now.
There are two keys to apple storage, cold and moisture. I will say, however, that in my experience, and I have stored apples for extended periods, that apples are one of the more lenient foods to store. Apples are a bit more forgiving than say some root veg. See if you can find anyplace decently cold, and you will be OK. As Michelle notes, basements just do not quite cut it, cold-wise. As the cliche reminds, it is important to visit one's stored apples to find the one bad apple that will spoil the bunch. A bit of vigilance is needed when storing foods.
In our bungalow, we have an un-heated attic. That's turned out to be a great storage area. The rising heat of the house keeps it below freezing, even in deep winter, but it is plenty cold. Other options include window wells, and in the stairwells just outside basements. Here, you will have a bit of heat to counter-balance our winter. If you keep the food in coolers or whatnot, you can keep out vermin and also move the stuff around if things get truly frigid.
I think with a little ingenuity, cold storage is possible, even in our modern dwellings, and there are good reasons to put things to storage.
PS
Pears store well too, but I would use a fridge. They are not quite as forgiving.
Think Yiddish, Dress British - Advice of Evil Ronnie to me.