In the bowl of a stand mixer fitted with a dough hook attachment, add the yeast, the warm water, and 1/8 teaspoon of the sugar and stir to combine.
Allow the yeast mixture to stand until foamy, about 5 minutes.
Set the stand mixer on low speed and begin mixing the yeast mixture.
Add 4 tablespoons of the melted butter, the milk, 1 tablespoon of the salt, the remaining sugar, and the eggs to the yeast mixture and mix to combine.
Slowly add 4 1/2 cups of the flour to the yeast mixture, while it runs on low speed, and mix until it just comes together into a dough.
Increase the speed to medium-high and beat the dough until it is soft and elastic, about 5 minutes.
Using the extra melted butter, lightly coat a large bowl.
Transfer the dough to the prepared bowl and cover the bowl with plastic wrap.
Place the bowl in a warm, draft-free area and allow the dough to rise until it doubles in size, about 2 hours.
In a small bowl, add 1 stick of the remaining room temperature butter, the garlic, the chives, the parsley, and the remaining salt and stir to combine. Set the herb-butter aside.
Using the extra room temperature butter, lightly grease two (5x9-inch) loaf pans.
Using the extra flour, lightly dust a work surface.
Turn the dough out onto the prepared work surface.
Roll the dough into a 12x6-inch rectangle.
Spread the herb-butter evenly over one side of the dough.
With a pizza cutter, cut the dough lengthwise into 3 equal strips.
Cut the dough crosswise into 4 equal sections, forming 12 squares.
Fold each of the dough squares in half.
Add 6 of the folded dough squares, fold-sides down, to each of the prepared loaf pans.
Cover the pans with plastic wrap and let the dough rise until the dough does not spring back when pressed with a finger, about 25-30 minutes.
Preheat the oven to 350 degrees F.
Bake the loaves until golden, 25-30 minutes.
Allow the loaves to cool for 10 minutes.
Turn the loaves out of the pans and serve.