Cut the eggs in half, remove the yolks to a cutting board. Mince the yolks and set them aside. Chop the whites. Set aside, but do not mix them, keep them separate.
In a medium sauce pan, melt the butter on medium heat, when melted, whisk in the flour, and continue to whisk until golden in color, 1-2 minutes.
Whisk in the milk, still whisking, and bring to a low boil, keep whisking until the sauce thickens. Season with salt and pepper as desired. Stir in the egg whites, then remove from heat and set aside.
Toast the bread, 1-2 slices per serving, after toasting, generously butter the toast. Arrange the toast on plates.
Spoon the sauce over the toast (If the sauce is too thick, just reheat on low heat.), sprinkle with the egg yolks, top with chopped chives, a light sprinkling of paprika and black pepper.
Serve with sides of your choice.