Special equipment: a 6- to 7-quart slow cooker and a cheesecloth square
Combine the apple cider, hard cider, calvados, lemon juice and honey in a 6- to 7-quart slow cooker. Place the cinnamon, cloves and star anise in a square of cheesecloth, tie the ends together to close and toss in the slow cooker. Heat on high to bring to a simmer. Then turn to the warm/hold setting. Serve the cider in a mug with a cinnamon stick.