One option for using Zotero on multiple computers, including library computers, is to install and run Zotero from a USB.
If you sync your library on your USB and desktop to Zotero.org, both will be kept up-to-date and you will not need to do this initial import. |
Now use Portable Firefox on you USB as your browser when working on a library computer.
You can use the sync feature of Zotero to use your personal Zotero library on multiple computers, including a library computer.