In a generously sized bowl, combine the eggs, milk, and salt using a whisk, then set the mixture aside.
Place the butter into a substantial skillet and heat it over a medium flame. Once the butter is suitably warmed, introduce the onion, bell peppers, mushrooms, and a modest pinch of salt.
Cook this assembly for a brief duration, ensuring the vegetables soften. Incorporate the bacon into the mixture.
Subsequently, pour the pre-prepared egg mixture into the skillet. Employ a delicate stirring technique to achieve your desired degree of scrambled egg texture.
Finish by garnishing with cheddar cheese and finely chopped chives.