If you're regularly using more than one computer 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.
All your computers must be running the same version of Zotero.
First, set up a Zotero.org user account. 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.
For more details and help troubleshooting sync problems, check the Zotero site.
If you're working on a computer that's not your main, there's another easy option for taking your Zotero library with you.
When you're done, make sure to export any changes and import the new file onto your computer. The library's computers will erase your data when you log off.