Sift together the flour and baking soda, set aside. If you don't have a sifter, whisk them together in a bowl.
In the body of a stand mixer with the paddle attachment or in a large bowl with an electric hand mixer, cream the peanut butter and butter together until smooth.
Add the brown sugar and granulated sugar to the bowl, and mix until smooth.
Add the eggs one at a time until fully mixed in followed by the vanilla.
Add the flour mixture and stir until combined, scraping down the sides as needed.
Fold in the oats and peanut butter chips by hand, mix until just combined. Cover with plastic wrap and place the bowl into the refrigerator for 30 minutes to chill.
Preheat the oven to 350°F. Line sheet trays with parchment paper.
Roll 1 ½ tablespoons of the dough with your hands to form balls. Place on the parchment paper lined sheet trays about 3 inches apart. Top with more peanut butter chips if you wish for a pretty presentation.
Bake for 11-13 minutes until the edges are lightly golden brown and the tops appear dry. Let cool on the sheet trays for 10 minutes then transfer to a wire rack to cool completely.
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Notes
These peanut butter oatmeal cookies keep at room temperature for up to 5 days in an airtight container. If you have lots of leftovers, you can freeze them for up to 3 months.