Probs want to see their CFrame to the same for both parts. Like:
LobbyDetails.PrimaryPart = LobbyDetails:WaitForChild("RescueMonitor"):WaitForChild("TV")
Lobby1.PrimaryPart = Lobby1:WaitForChild("RescueMonitor"):WaitForChild("TV") -- Any part that is in Lobby1 model
Lobby1.Parent = game.Workspace.Lobby
Lobby1:SetPrimaryPartCFrame(LobbyDetails.PrimaryPart.CFrame)
LobbyDetails:Destroy()
Lobby1.Name = "Detail"
Just be careful, As :SetPrimaryPartCframe is deprecated, meaning it is not up to date, and could be removed in the future with updates. Try to use Pivots instead with :PivotTo()
I used PivotTo, but I only marked the other reply as a solution because they replied first, so they would’ve gotten the solution first if I hadn’t made the dumb mistake