Preheat oven to 350°F (175°C).

In a large bowl, combine whole wheat flour, baking soda, and salt.

Add oats, brown sugar, and sugar to the dry ingredients.

In a separate bowl, cream together softened butter, beaten eggs, and vanilla extract.

Mash ripe bananas and add them to the wet ingredients.

Combine the wet and dry ingredients, mixing well until just combined.

Fold in peanut butter chips and chocolate chips.

Drop rounded tablespoons of dough onto ungreased baking sheets.

Bake for 12-15 minutes, or until golden brown.

Let cool on baking sheets for a few minutes before transferring to a wire rack to cool completely.