In System Settings > Users & Groups.
For the complete set of instructions I recommend reviewing the following: Change the name of your macOS user account and home folder - Apple Support.
Be advised terminology is important so use caution. You can for example change only the "Full name" without altering anything else, which is what you are seeking to accomplish. Do not change the "User name". It is not necessary to create an additional Administrator Account, and in your case you will not want to rename the Home Folder either. Its name can and will remain unchanged.
Excerpted from the above, illustrating the importance of terminology:
"The full name does not need to match the user name, and can contain spaces. You will be able to use either the user name or the full name when logging in or making changes that require your account name and password."
You may want to create a Time Machine backup before proceeding. That just goes without saying, but since you are setting up a new Mini from scratch you might not have anything to lose (yet).