You can enter Cyrenes lootable PVP area by talking to PVP Teleporter Kibler at this location. This is a toxic area so make sure you take your Anti-toxic shot from the Trade terminal before venturing in.
Eves Playground PVP
This is an building full of water. It is non lootable PVP. Located here
Duster Hazing Station PVP
This area is non lootable PVP. Located here