Add eggs to blender. Blend until fully broken up into a homogenous mixture, about 15 seconds. Add sugar and blend until fully incorporated. Finally, add milk, cream, vanilla, nutmeg, and salt. Blend for about 30 seconds, until all combined.
Pour eggnog into a large pyrex dish (1.75 quart). Place pyrex dish on top of trivet. Water should come up about halfway on the sides. Whisk eggnog frequently while water comes back up to a boil.