Not sure I understand, what's the difference between migrating and cloning? They do the same but just different word right?

Let me clarify :)

Since it's possible to clone the site and the database... there could be a feature, to migrate / clone (call it whatever you want :) with one click, which would:

• clone the site with the same settings (which are possible)
• clone the database (if it's attached to the site) with the same database username/password
• and optionally remove the original if the whole process is successful. (Credits to @Arko) :P

I need to move a bunch of WP sites from one server to another and it would be nice if I could do that with only one click of the button. And after changing DNS records only issue a new SSL cert.

Ah right, so, basically, we already have these features, their just not combined as you describe.

• You can clone a site to another server via the manage tab -> clone, this does not delete the original site, but you can do that
• You can clone a database, to another server, via the databases tab -> press the 3 dots button -> clone

You're saying it has to be in 1 action?

When you clone the database, users will not be cloned. You can create a new user for this cloned database.

It would be great if the new DB user would be created with the same username/password so that no additional configuration would be needed.

You could also just add a new checkbox under the "clone site" named "clone attached database" which would simplify the migration of the site with the database. But like I said, DB user should be the same.