Soften butter and peanut butter together in microwave in a microwave safe bowl. Cream together with sugar and then mix in eggs until smooth.
In a separate bowl, mix together next 5 ingredients. Add to the wet ingredients and mix until well combined.
Stir in the chocolate and peanut butter morsels until evenly dispersed.
Use a 1-inch cookie dough scoop or shape into balls about 1-1 ½ inches depending on the size of cookie desired. Drop cookie dough balls onto cookie sheets and use a fork to press the cookies down (just like peanut butter cookies). Cookies will spread a little.
Bake for 10-12 minutes. Take cookie sheet out of the oven and let cookies sit for 3-5 minutes before removing to a cooling rack.
I used the Toll House mixed bag of chocolate and peanut butter morsels. But if you can't find that - you can get separate bags of each and use a mix.