You’ve got it. Assuming you’re using Hestia on both servers, you’ll just need to have the most recent backups (in /backup folder) and restore them on the new server.
Use v-restore-user USERNAME USERNAME.2025-06-11_12-00-00.tar (replacing USERNAME with the username being transferred and USERNAME.2025-06-11_12-00-00.tar with the backup file name).
This restored data is a complete copy of the backup so migration should be fine. The only thing to look out for would be if you have any licenses in your website software etc. (these are sometimes registered to specific IP addresses).