Preheat oven to 350 degrees Fahrenheit.
Line a 21" by 15" inch baking sheet with parchment paper.
Whisk dry ingredients in a medium bowl and set aside.
In a large bowl, cream the butter and sugars together using a hand mixer.
Add in the 2 eggs, peanut butter, vanilla extract, and milk; combine using a wooden spoon.
Slowly add the dry ingredients to the wet ingredients. Combine dough until it forms a large ball.
Fold in the chocolate chips.
Measure out 1/4 cup sized dough balls (4 tablespoons).
Gently press down cookie balls (space them out 6 to a jumbo baking sheet)
Add 3-4 pieces of peanut butter cup chunks to the tops of the cookies.
Bake for 15-16 minutes. I would check them at the 15 minute mark. Cookies should have slightly golden brown edges.
Allow cookies to cool for 10 minutes before removing and baking the next batch.