Mix the egg yolks, whole eggs, sugar, and vanilla until the mixture is light and fluffy and a white color.
Gradually add the alcohol to the egg mixture while continuing to mix.
In a separate bowl, briefly mix the cream until it thickens slightly, but is still liquid.
Add the blended cream to the egg-alcohol mixture and briefly mix again.
Pour the eggnog into sterile bottles and allow to cool.
Given its sugar and alochol content, it can be stored for a long time. May but need not be refrigerated.