Move site to private bench
If you want to move to a dedicated server refer Move site across server
You can directly schedule Site Migration to a private bench from a site's dashboard.
To change your site to a private bench, go to your site Dashboard>Actions>Change Bench
If you don't have available private bench, click on Clone current Bench to create a compatible private bench for your site to move to.
If there's a compatible private bench, click on Change Bench to start moving the site to the chosen bench.