You can transfer the site in automatic mode along with mailboxes and their contents using automatic transfer systems.
When manually transferring a site between hosting accounts, all associated with it will be permanently deleted mailboxes.
To manually transfer a site from one hosting account to another, do the following:
/home/user/example.com/www
where instead of user
should be indicated hosting account nameand instead of example.com/www
— path to site files (instructions: WordPress, Joomla!, OpenCart).