For the rum: 

1. Place the mulling spices in a cheesecloth bag or tea ball
2. Put the cider in a pot, add the mulling spices and brown sugar
3. Simmer for ten minutes, stirring occasionally
4. Remove from heat and discard the mulling spices
5. Add the rum
6. Before serving, rim glasses with butter and cinnamon

For the brandy:

1. Place the mulling spices in a cheesecloth bag or tea ball
2. Combine the cider, orange juice, and brandy in a pot and cover
3. Bring to a boil
4. Add the mulling spices and then reduce heat immediately to a simmer
5. Simmer for 10 minutes
6. Serve while hot and enjoy!