Ok, I think you should test then!
- Make backups on old VPS and download locally
- Shut down old VPS
- Install YH on new VPS (you have to release your subdomain first, see forum)
- Upload backups to new VPS
- Install apps from backups on new VPS
I think this should be it, lets test.
edit: Domain recovery here - Nohost domain recovery - Suppression de domaine en nohost.me, noho.st et ynh.fr