Congratulations!
The first thing you need to do is to uninstall the RL applications from your current computer to release licenses, assuming you will no longer be using it. You can uninstall via the Hub. Then you would uninstall any plugins that have a license limit.
On your new system, you would start with installing the Hub and then install from there. You could also download the full installers and install that way.
Content you can copy over but it will need to be "acknowledged" in the Content Gallery. I think there is a KB article about that.