It is important to replace cracked or broken baskets. Debris will clog your pump with a damaged basket.
Disconnect the power from the pool pump. This ensures the pump is not circulating water while you are working on the pool skimmer. Remove the top cover of the skimmer, this should slide right off or pull off, depending on the style.
Place your hand in the skimmer and remove the basket by rotating clockwise until the basket unlocks. You will know it has unlocked because you will be able to pull it right out of the skimmer.
Detailed photos of different models are available at www.waterwayparts.com