Your C.A.M.P in Fallout 76 Wastelanders acts as your base of operations. You can place it down to give you a respawn point and use it to build various things that you will need, eventually creating a full base to keep you safe from the dangers out in the wastes.
You can also move your C.A.M.P, and it is a good idea to try and keep it reasonably close to where you are currently doing missions and side quests in the game. When it comes to placing your camp, locations near smaller towns or close to already made crafting stations are great.
It is a good idea to avoid busy areas with too many enemies or areas too close to major quest spots. The best thing to do is find a good spot with some resources, buildings, or NPCs, and then set up camp a little off the beaten track where people are unlikely to find it.
To place your camp, open your Pip-Boy and then hit Z on PC, or LB/L1 on consoles. A small green object will appear in front of you, showing the central C.A.M.P device. All around you will be a ring of green space, showing you how much clear area you need for your camp. If the device in the center is red, it means that you cannot build your camp there.
All you need to do is walk around until you make the device turn green, then you can hit the prompted button to accept the decision, and your camp will spring up around you.
Moving your camp is as simple as finding a good spot, wherever you are, and setting up the camp the same way. Just open the Pip-Boy, choose the move camp option, then select where you wish to place it. It will cost a few Caps each time you do it, but the cost is certainly not prohibitive.