Pour the apple cider into a large saucepan and place it over medium heat.
Add the cinnamon sticks, whole cloves, and orange peel to the cider. Stir gently with a wooden spoon to combine.
Bring the mixture to a simmer, listening for gentle bubbling around the edges of the pan. Reduce heat to low to maintain a steady simmer.
Let the cider simmer uncovered for about 15-20 minutes, allowing the spices to infuse and the flavors to mingle. The cider should look slightly cloudy and aromatic.
Stir in honey or sugar, dissolving it fully into the warm cider. Adjust sweetener to taste.
Remove the saucepan from heat. Carefully strain out the spices and citrus peel using a fine sieve, leaving a clear, fragrant liquid.
Pour the hot, spiced cider into mugs or cups. Serve immediately, garnished with a cinnamon stick or citrus slice if desired.