Preheat the oven to 350 degrees Fahrenheit. Prepare baking sheets with a light spray of oil or parchment paper. Set aside for now.
In a large bowl, cream the butter, granulated white sugar, and brown sugar together until light and fluffy, about 1-2 minutes.
Add the eggs and vanilla extract and beat until well combined.
In a separate bowl, whisk together the flour, baking soda, and salt.
Gradually add the dry ingredients to the wet ingredients, mixing until just combined.
Gently fold in the chocolate chips and peanut butter chips until evenly distributed.
Using a 2-inch cooking scoop, drop dough onto prepared baking sheets, spacing them about 2 inches apart.
Bake for 10-12 minutes, or until the edges are lightly golden and the centers begin to crack.
Allow the cookies to cool on the baking sheet for 2 minutes before transferring to a wire rack to cool completely.