Begin with pre-chilled ingredients for the greatest end result.
In a medium bowl, beat the eggs together hard until they're very frothy.
Add sugar and continue beating.
Sprinkle in nutmeg and vanilla.
A little at a time, add in the whipping cream, continuing to beat.
Again, only a little at a time, beat in the milk.
Finally, beat in the rum and brandy.
Give your arms a break from all that beating by putting the eggnog in the fridge to chill for 1 – 2 hours.