Hello, thank you for the answer but I managed it thanks to this method (4.2 section of this web page -French Ubuntu site - : https://doc.ubuntu-fr.org/tutoriel/deplacer_home )
Copy the contents of the current / home into the new:
sudo rsync -av /home/ /new.home
Check for security the contents of the future / home:
ls -la /new.home
Then change the name of the old / home to /old.home:
sudo mv /home /old.home
Restart Disk-Manager to assign the new mount point / home to the sdaX partition
Restart the computer. The new / home is mounted and in use.
