In a very delicate manner; with very gentle care, often to the point of coddling. Kid gloves are very soft leather gloves, typically made from the skin of a young goat (a "kid"). My family has always treated my younger brother with kid gloves, trying to protect him from every little difficulty in his life! They designed their latest smartphone to be very resistant to drops and bumps, so you never feel like you have to handle it with kid gloves.