Nitrile
Ideal option where latex allergies are a concern. They are made from a synthetic rubber that is latex free and are far superior to latex when it comes to puncture resistance and general durability. Nitrile gloves also offer better chemical resistance against certain chemicals compared to latex and vinyl gloves.
Vinyl
More suited for short-term, low risk tasks where cost is a factor. They do not offer quite as good dexterity as nitrile and latex gloves but are still a good option for certain tasks.