The term 'kid gloves' is an expression which means that something is being handled, or will need to be handled, carefully. The phrase comes from the early 1800s where a physical glove was made from young lamb or goat's skin and had a very fine soft touch to them as opposed to other gloves that were made from strong leathers. It became a symbol of soft elegance and then the term 'handle with kid gloves' derived from it, meaning that you need to be very gentle in a certain situation. In the 1800s it was also a term that was used to describe an individual as dainty and upper class, who never partook in manual work. The phrase 'the gloves are coming off' derived from this initial saying which means that someone is acting in a harsh and blunt way towards another person.
While the term 'kid gloves' is used as an expression, the term 'kit gloves' refers to physical gloves. They are used when carrying out repair work and are offered supplied within kits that include other tools to help repair any physical damages. They are often made with fine cloth which aims to keep human oil of the parts that need to be repaired. Others are sometimes made of latex or vinyl which allows the hands to work intricately but prevents contact from any human oils that may contaminate the substances you are working on.