Prepare the Apples. Wash, peel, core, and quarter the apples.
Cook the apples. In a large pot, combine the apples with water or apple cider. The liquid should just barely cover the bottom of the pot to prevent burning. Bring the mixture to a boil over medium-high heat. Reduce heat to a simmer and cook, covered, until the apples are soft (about 20-30 minutes).
Add lemon juice and spices. Add lemon juice. Taste the apples and see if they sweet enough. If not, not add sugar. Add spices as desired.
Mash the Apples. Remove from heat. For chunky applesauce, use a potato masher. For smooth applesauce, use an immersion blender.
Prepare for canning. Sterilize lids, and bands by boiling them in water for at least 10 minutes. Heat the jars in the waterbath canner. It should be hot but not boiling when jars are added. They do not need to be sterile, just hot.
Fill the Jars. Using a canning funnel, ladle the hot applesauce into jars, leaving 1/2 inch headspace. Wipe the rims of the jars with a clean, damp cloth. Apply lids and screw on bands until fingertip tight.
Process the Jars. Return canner to full rolling boil. Place jars in the canner using a jar lifter. Make sure they are covered by at least 1 inch of water. Bring back to a rolling boil and process for 20 minutes (adjust time for altitude if necessary). Turn off heat, remove canner lid, and let jars rest in the canner for 5 minutes.
Cool and Store. Remove jars from canner and place on a towel to cool for 12-24 hours. Check seals, label, and store in a cool, dark place for up to a year.