Hi Carrie,
Page publisher and article manager are both built on Perl/CGI scripts, so you shouldn't have any issues with them and CMS Builder has been tested on the latest on the latest version of PHP, so that should be fine as well.
I would recommend carrying out a backup before any upgrade, I would check that your hosting provider will be doing this before the upgrade.
Let me know if you do have any issues after the upgrade.
Thanks!
Greg
Greg Thomas
PHP Programmer - interactivetools.com