Spice the cider: Get out a medium-sized pot and add all of the ingredients except the liquor to it. Place this pot over high heat until it just starts to come to a boil. Lower the temperature and let everything simmer for 15 minutes. Stir often.
Strain the apple cider into a large bowl and pour in the cup of liquor. Use a spoon to mix it all together.
Ladle the hot apple cider cocktail into mugs, garnish with a slice of apple and enjoy immediately!