Cream both sugars and butter. Beat in peanut butter, vanilla and egg.
Stir together flour, baking soda and salt.
Add to batter and stir until incorporated.
Stir in oats and chips.
Drop by tablespoons onto parchment lined cookie sheets.
Bake 10 to 12 minutes.Let sit on cookie sheet for about 3 minutes, then transfer to a wire rack to finish cooling.
Makes about 18 cookies
Notes
You may want to make the cookies at 375 rather than 350F for a little more browning. This all depends on your oven, so only increase the heat if you feel the cookies aren't brown enough.