Use WordPress Toolkit
Plesk has a WordPress migration tool and a site import tool (Migrator) built in. Point it at your old site and it copies the files and the database for you.
- Order a WordPress plan with your domain.
- Open Plesk from the client area and go to WordPress.
- Choose Migrate, enter your old site's details and start the copy.
- Check the site, then point your DNS to us.
Best if you are comfortable with a control panel.