Cats show affection in different ways, such as purring, meowing, rubbing against their owners, and kneading. They also enjoy being around their owners and playing with them. Owners can bond with their cats by spending quality time together, providing them with a safe and comfortable environment, and engaging in activities such as grooming, playing, and cuddling. Additionally, providing them with toys, treats, and scratching posts can also help strengthen the bond between cats and their owners.