In a medium bowl, vigorously whisk the large eggs and egg whites together until the mixture is uniform and slightly frothy.
Place a high-quality non-stick skillet over medium-low heat and add the grass-fed butter, allowing it to melt and coat the bottom of the pan without browning.
Pour the egg mixture into the skillet and let it sit undisturbed for about 30 seconds until the edges just begin to set.
Using a silicone spatula, gently push the eggs from the outer edges toward the center, creating large, soft curds.
Continue to cook the eggs low and slow, folding them gently every few seconds to maintain a creamy, custardy consistency.
When the eggs are about 90% cooked and still look slightly wet, sprinkle in the sea salt, black pepper, and fresh chives.
Remove the skillet from the heat immediately, as the residual heat will finish cooking the eggs to a perfect, tender finish.