If you're working on a DCU Library PC (or any other PC/laptop for that matter), there's an easy option for taking your Zotero ref library with you.
In the Zotero application click 'File', select 'Export Library...', select format: 'Zotero RDF' and save the file to your USB drive (or Dropbox etc.). To import, click 'File', select 'Import Library', point to your Zotero file and select 'Open'.
Plan B! If you're regularly using more than one computer/laptop in your research, Zotero's sync feature can keep your library up to date on all of them. Zotero can store a copy of your library on the Zotero.org server and check it for updates whenever you open your library on a different computer/laptop. All your computers/laptops must be running the same version of Zotero Standalone.
First, set up your Zotero.org user account. 300MB come free (you might want to consider storage upgrade if Plan B is your backup preference). Then:
Repeat this configuration on each of your computers. Any updates you make on one of your computers will be reflected on the others. This even works to synchronize your library among Windows, Mac and Linux computers.