To trim a cat's claws safely, you will need a pair of cat nail trimmers, styptic powder in case you accidentally cut the quick (the blood vessel inside the claw), and a calm environment. It's important to only trim the very tip of the claw to avoid cutting the quick. Hold your cat securely but gently, and trim each claw in a quick and precise motion. If you are unsure, it's best to consult a veterinarian or a professional groomer for guidance.