WPP is not an installation, you can copy alle files to your new Server. I think it is not what you are asking for. How do you move your wsus to your new Server? You can install WSUS on your new server as an Replica from the old one, synchronise every Content and Client to new WSUS. If all is there, you can change the new one to a Master WSUS.
Think about the certificate from your actual WSUS/WPP. Did you create it with WPP or with an CA?
Think about the certificate from your actual WSUS/WPP. Did you create it with WPP or with an CA?