Scrambled Eggs with Goat Cheese

I saw the Barefoot Contessa make this on her show the other day and I was drooling!

I scaled her recipe waaaaay back b/c I was just making enough for me and my lil' foodie:) Also, I just cooked the eggs on low heat on my stove top.
Scrambled eggs with goat cheese - Ina Garten
16 extra-large eggs
1 1/4 cups milk or half-and-half
1 1/2 teaspoons kosher salt
3/4 teaspoon freshly ground black pepper
4 tablespoons (1/2 stick) unsalted butter, divided
6 ounces fresh goat cheese, crumbled
2 tablespoons minced fresh chives

Heat a charcoal grill with coals. Spread them out in one dense layer.
Whisk the eggs in a bowl with the milk, salt, and pepper. Heat 2 tablespoons of butter in a large saute or omelet pan over the hot grill. Add the eggs and cook them until the desired doneness, stirring constantly. Off the grill, add the goat cheese, chives, and the remaining 2 tablespoons of butter. Stir and allow the eggs to sit for 30 seconds, until the cheese begins to melt. Check for seasonings. Serve hot.