Preheat your oven to 350 degrees F with a rack in the center position.
In a large ovenproof skillet, cook the bacon over medium-low heat until crisp, then transfer to a paper-towel lined plate to drain.
In the same skillet with the bacon fat, cook the diced potatoes until tender and browned, stirring occasionally.
Whisk together eggs, milk, Dijon mustard, salt, and pepper in a bowl. Mix in the shredded cheese.