Combine warm milk, yeast, and sugar. Let sit for 5–10 minutes until foamy.Add eggs, melted butter, salt, and most of the flour. Mix until a soft dough forms.Knead for 8–10 minutes until smooth and elastic.Place the dough in a greased bowl, cover, and let rise for about 1½ hours or until doubled.Roll the dough into a 16×12-inch rectangle.Spread softened butter evenly over the dough.Mix brown sugar, cinnamon, and nutmeg, then sprinkle evenly over the butter.Roll the dough tightly into a log and cut into 12 equal rolls.Arrange the rolls in a greased 9×13-inch baking dish, cover, and let rise for 30–45 minutes.Bake at 350°F (175°C) for 22–25 minutes, or until lightly golden.Beat together the cream cheese, butter, powdered sugar, vanilla, and milk until smooth.Spread the frosting over the warm cinnamon rolls and serve.