Boil the eggs for about 10 minutes. Melt the fat in a pot at low heat, sauté the flour in it. Deglaze with cream and milk. Bring to the boil while stirring, then simmer on low heat for about 10 minutes.
Whisk the egg yolks and stir into the sauce. Season to taste with salt, pepper and nutmeg. Wash the chives, dab dry and cut into small rolls. Sprinkle over the sauce. Rinse, peel and halve the eggs. Arrange the chive sauce in a flat dish and sprinkle with a little paprika. Serve with a mixed leaf salad and mashed potatoes.