Node Metatag data migration with the Migrate-Update\Drupal-Upgrade module I ask this for freshmen like myself, and others, who want to make sure they are making the best migrate-update possible:

I have created a local copy of a Drupal 7 site and have also created a brand-new Drupal 8 site. I have no content to migrate-update into the Drupal 8 site besides Nodes, their Metatag data, and a list of Redirects. I've already installed the modules Migrate update, Metatag, and Redirect (via GitHub) in the Drupal 8 site as well.

Is here something special that needs to be configured after the installation and enabling of the module in the Drupal 8 site to which I plan to migrate and upgrade content?

In other words, should I configure something in the D8 site Metatag module settings to insure a stable and correct migration of each node's meta title, description, and keywords from the D7 site?
Both redirect and Metatag have to provide their own migrations (migration templates), it's not something that you can just configure.

All you can do, if you don't know how to do it yourself is open issues for those projects and hope someone will do it. Or find someone you can pay that does it for you.