Buy any type of apples you like. I used Macintosh because I like them and that's what the store had that day.
There are two ways to do this: you can either cut them, cook them, then use a food mill to remove skins, errant seeds, etc. (my way), or you can peel, cut, and de-seed them, cook, and then no food mill is required (also works great).
While cutting, it is highly encouraged to make a cinnamon & sugar mixture to dip the wedges into for an impromptu snack.
Add a little water to the pot and cook away until everything is broken down, maybe 30-45 minutes. Also add cinnamon and/or nutmeg to your taste.
When I use the food mill to break down the apples further and remove the skins, I always do it over a second pot so that if the mixture is too watery I can cook it a little longer.
Depending on how many apples you used, you'll probably have more applesauce than you'll need right away. Either store some in a plastic container in the freezer for holiday meals, or freeze individual servings in a muffin tin for enjoyment over the coming weeks and months. (Fill and freeze the muffin cups, the run a little hot water over the bottom to loosed the discs, and store in a freezer bag. Pop into the microwave for a quick snack)