Pour the apple cider into a large saucepan and place over medium heat.
Add the cinnamon sticks, whole cloves, and a strip of orange peel to the cider.
Gently heat the mixture until it begins to steam, but do not let it boil vigorously.
Reduce the heat to low and let the cider simmer softly for about 20 minutes, allowing the flavors to infuse and the aroma to fill your kitchen.
Stir occasionally to ensure the spices are evenly distributed and the cider stays warm.
Remove the saucepan from heat and carefully strain the cider through a fine mesh to remove the spices and orange peel.
Pour the clear, fragrant cider into mugs, and enjoy while steaming hot, with the aromatic spices lingering in the air and on your palate.