So on the surface, yes just the two includes/configure.php files need modification (assuming that all changes that you've made to your store use the constants of the site and didn't hard code any links/references to include your current URI.) but, if not mistaken when you setup the new host name you will likely also need to update the file paths beginning with DIR_FS_ in the same two files.
The other thing may be that you may have a new database link/database. So you may have to modify that information as well in the two files...
The easiest way to deal with most of this, is to "setup" a site of the same version so that you can have your configure.php files created for you with the correct link(s). Then copy over all of your files (except those two) and export your old database to be imported to your new database (while the store is temporarily down for maintenance) and pretty much done...
Somewhere in all this, you need/want to redirect all your old traffic to this new location, and if you're really on top of things you request your host to reduce the cache duration of your existing site in preparation for the move.
All of this is covered in the FAQ. Here's two links: https://www.zen-cart.com/content.php?142-i-want-to-move-my-zen-cart-installation-to-another-host-or-a-different-server
https://www.zen-cart.com/content.php?160-i-have-installed-zen-cart-to-a-directory-how-do-i-rename-or-move-that-directory