Lay a piece of cheesecloth on a flat surface. Place mulling spices, ginger and fruit in the center of the square, then gather into a satchel and tie with kitchen twine.
Fill a large pot with the apple cider and add the satchel of mulling spices. If not using cheesecloth, drop mulling spices, ginger and fruit into the cider. Warm over low heat for 1 hour and up to several hours.
Remove cheesecloth and discard. If not using cheesecloth, strain the cider into a pitcher. Pour into individual mugs and add 1-2 shots of spiced rum per mug.