how to do transfer having account size more than 2 GB

1) Move public_html to /home/ as user_public or public_user (anything like that)
2) create a link of user_public to ../ (i.e /home)
3) packageaccount user_public
4) restore account user_public

then you need to transfer public_html by rsync

transfer user_public using rsync to /home of dest: and then it rename a public_html ...