Combine all of the ingredients in a large Dutch oven.
Cover and cook over medium-low heat, stirring occasionally, until the apples become tender and break down, about 30 minutes.
Use a handheld immersion blender or a regular blender (for a smooth consistency) or a potato masher (for a chunky consistency) to puree the apples. Taste and season with extra sugar, if necessary. Add water to thin, if necessary. Serve warm or at room temperature.
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Notes
Use a variety of apples (or a combination of different varieties) that have a soft texture. These apples break down easily during the cooking process. Good options include Golden Delicious, McIntosh, Rome, Jonagold, Cortland and Jonathan. Most importantly, pick apples with great flavor!
For a chunky applesauce, mash the cooked apples with a potato masher. If you like a smooth texture, use a handheld immersion blender or a regular blender. Thin the sauce with extra water, as necessary, so that it's easy to puree. The amount of water needed will depend on how "juicy" your apples are.
Adjust the seasoning and sweetness to suit your personal preference. Omit the cinnamon altogether, or add extra spices. Similarly, you can play with the amount of sugar that you use, depending on the sweetness of your apples.