Pour the apple cider into a heavy-bottomed pot and place it over medium heat, allowing it to warm gradually.
Add the cinnamon sticks and whole cloves to the cider, then bring the mixture to a gentle simmer, watching for tiny bubbles forming around the edges.
Once bubbling begins, lower the heat to just below simmer and let it stew uncovered for about 20 minutes, allowing the spices to infuse the cider with fragrant warmth.
Stir occasionally, gently pressing the spices to release more aroma, and watch as the cider turns a rich golden color.
Taste the cider and add honey or maple syrup to sweeten as desired, stirring until fully dissolved.
Remove the pot from heat and strain the cider through a fine mesh strainer into a serving vessel, discarding the spice solids.
Pour the hot, fragrant spiced cider into mugs, and add optional slices of ginger, lemon peel, or star anise for extra flavor and visual appeal.