There are 22 skins included in the Launch Collection DLC pack. The Child's Play skin is reportedly part of this collection but has not been unlocked yet.
A Team skin means the color will change each round. (Red for Locust, blue for COG.)
Some weapon skins will be static while others are animated. Unfortunately, Epic has made their animated skin videos unlisted, meaning only people that know the link can watch them, but I managed to embed them for your viewing pleasure.
Static Weapon Skins:
Desert Digital Camo
Jungle Digital Camo
Urban Digital Camo