How do I create a game-wide syncing data store?

Each server has it's own unique id, which can be called with the game.JobId. Since each server is unique, and if all players leave the server it is not used again, then you can simply create the datastore info when the first player joins a new server.

You can also check if a server is a vip server using game.PrivateServerId where these servers can be reused even if a player cancels their subscription to the game.

Server Script

local DataStoreService = game:GetService("DataStoreService")
local ServerInstance = DataStoreService:GetDataStore("OpenedServers")

game:GetService("Players").PlayerAdded:Connect(function()
	if #(game:GetService("Players"):GetPlayers()) == 1 then
		if game.PrivateServerId ~= "" then
			if game.PrivateServerOwnerId ~= 0 then
				print("VIP Server")
			else
				print("Reserved Server")
			end
		else
			print("Standard Server")
		end
		
		local success, result = pcall(function()
			ServerInstance:GetAsync(game.JobId)
		end)
		
		if not success then
			warn(result)
		else
			if ServerInstance:GetAsync(game.JobId) ~= nil then
				print("Old Server Found")
			else
				print("New Server Created")
				ServerInstance:SetAsync(game.JobId, game.PlaceId)
			end
		end
	end
end)

Teleport Service has the following function to transport players

TeleportService:TeleportToPlaceInstance(PlaceId, JobId, Player)

Where the placeid is the place of the game, and the jobid is the server of that place, and the player is the player. The only drawback to this function is that you need to know the exact numbers to define the place / job ids.

Since DataStores are global across a single game, the usage of the datastore in each server will automatically sync.