I see that my free avast allows multiple devices but I need to be sure that I can safely Uninstall the free-year-McAfee from my new PC before proceeding.
I believe that article should start with the following.
Do NOT Uninstall your existing AV before downloading the Avast Offline installation and the current AV removal tool.
Go off-line uninstall the current AV, run the removal tool if required. Then reboot and install Avast using the off-line installation file you downloaded.
I also believe that page could do with an update, one it refers to avast version 17.x. It also needs more information on Avast Support for XP ending/ended and also needs to refer to the last supported versions for XP/Vista and the requirement for SSE2.