After your files have been restored to a new drive, you'll need to go to the Serato backups tab in the My DJ Cloud app, and download the most recent backup from the old drive.

Once you download it, unzip, and move the backup folder to the appropriate location on the new drive. Rename the folder so that it's just _Serato_.

Open Serato, and relocate the files in the restored My DJ Cloud music location.

That's it!