Preheat your oven to 350°F (175°C) and line a 9x13-inch baking pan with parchment paper.
In a medium bowl, whisk together the all-purpose flour, baking soda, and salt. Set aside.
Cream together the unsalted butter, light brown sugar, and granulated sugar until light and fluffy, about 2-3 minutes.
Add the creamy peanut butter, egg, and vanilla extract to the butter-sugar mixture, blending until smooth.
Gradually add the dry ingredients to the wet mixture, mixing on low speed until just combined.
Fold in the semisweet chocolate chips and peanut butter chips until evenly distributed.
Pour the batter into the prepared baking pan and bake for 25-30 minutes, or until golden brown.
Let cool for about 10 minutes, then lift out using parchment paper and cool completely before slicing.
