Well.. not yet there isn't since I've never done it, but if I did, I'd certainly document the process.

I suppose the steps would be..

Download the latest version of DewNewPHPLinks and extract it.

Backup your existing installation, both the files and the database

Review the SQL file /docs/DewNewXXX.sql and you should be able to use PHPMyAdmin to create the missing tables, and add the new columns to existing tables.

Upload the new files

Make sure the .htaccess file from your /admin directory still exists ( the one that password protects your /admin directory, otherwise, likely your host's control panel allows you to password protect directories. The /admin directory can also be renamed for additional security

Refer to your back up of /includes/config.php to help you fill in the new one, mainly just the MySQL connect info, and the username/domain portions of your email address.

Copy one of the theme directories, like /themes/original/ to a new directory, like
/themes/mytheme/ and select your new theme from the admin panel's configuration page.

Likely you can just paste your old style sheet file into your new "mytheme" directory, as well as any customized graphics. You'll probably need to edit the header.php file in the theme directory to accommodate existing logo, checking both the file name and dimensions.

Keep in mind, DewNewPHPLinks uses a .htaccess file in your installation directory to tell your web server to treat the "directory" file as a PHP script. If you initially get 404 or 500 errors, please check the relevant FAQ entry http://www.dew-code.com/content/view/14/25/