Updating style reference for many files at once

[Alsadius]

I'm working on a project that involves updating the style on a couple hundred Word documents at once. I used a template, but I didn't realize until I was nearly done that creates a link to the template file that automatically updates every time the files are opened.

I stored the template in a test folder which should be cleaned out regularly, so keeping it where it is is unappealing. Is there a way to move the template and update all the links at once? Or do I need to go in and update them all manually?

Worth noting, these files are used by several dozen users on a network shared drive, so any update that only works locally will not get the job done. I don't mind using macros if they're the right tool for the job.

Thanks.