For a Sphynx cat's skin care, especially outdoors, it's vital to apply pet-safe sunscreen to prevent sunburn, as their hairless skin is highly susceptible to sun damage. In colder weather, they may need protective clothing to retain warmth. Indoors, maintain a warm environment to prevent chills. Regular bathing is crucial to remove excess oils and keep their skin healthy. Continuously monitor their skin for irritation or sensitivity and consult a vet for personalized skin care advice.