Core update from version 7.59 to 7.63

I’m planning to do my first core update from version 7.59 to 7.63.
I’ve tested it already on a non-production web site, and it seems to work fine.
I will take a full file and a database backup before the production update. How should I proceed with the restore if something goes wrong ?
I would need an exact action plan to be on the safe side.



Drupal version: