Preheat oven to 375°F (190°C).

In a large bowl, mix shortening and both white and brown sugars together until creamy.

Add eggs and vanilla extract to the sugar mixture, and blend well.

In a separate bowl, sift together flour, baking soda, and salt.

Gradually add the dry ingredients to the wet ingredients, mixing until just combined.

Stir in chocolate chips and chopped nuts.

Drop rounded tablespoons of dough onto ungreased baking sheets.

Bake for 8 to 10 minutes, or until golden brown.

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