Pour the apple cider and maple syrup into a large stainless steel saucepan.

Place the cinnamon sticks, cloves, allspice berries, orange peel and lemon peel in the center of a washed square of cheesecloth, fold up the sides of the cheesecloth to enclose the bundle, then tie it up with a length of kitchen string.
Drop the spice bundle into the cider mixture.

Place the saucepan over moderate heat for 5 to 10 minutes, or until the cider is very hot but not boiling.

Remove the cider from the heat. Discard the spice bundle. Ladle the cider into big cups or mugs. Add a fresh cinnamon stick to each serving is a nice touch.