1. Begin with pre-chilled ingredients for the greatest end result.
  2. In a medium bowl, beat the eggs together hard until they're very frothy.
  3. Add sugar and continue beating.
  4. Sprinkle in nutmeg and vanilla.
  5. Continue beating.
  6. A little at a time, add in the whipping cream, continuing to beat.
  7. Again, only a little at a time, beat in the milk.
  8. Finally, beat in the rum and brandy.
  9. Put the eggnog in the fridge to chill for 1 or 2 hours.
  10. Serve cold.