Zooks are stored automatically on the local machine.  When you build Zooks on a school network, sometimes it can be tricky to locate your Zooks to move them to another computer. 
When you build Zooks and save them, you do not get a choice about where to save them - they are saved automatically in the following folder:  
C:\Documents and Settings\%username%\Application Data\Bamzooki\Teams\myZooks\Creatures  

The easiest way to find them for students is if there is a shortcut to that folder on the Start Menu.

Within the creatures folder, each Zook has a folder with its Zook name.  If you want to move your Zooks to another computer, simply copy the Zooks from one computer into the Creatures folders on the second computer. 

The actual Zook file is always called 1.0.Zook.  The Zook gets its name from the folder name in which it is sitting.  If you rename the folder, the Zook is renamed.
If you work on different computers all the time, but have a home drive or USB drive, simply copy your Zooks from the Creatures folder to your home drive at the end of each lesson.  At the start of your next lesson, copy them back to the Creatures folder on the new computer. 

If you want to run class competitions, one of the easiest ways is to use a USB drive and collect entries on it as you move around the class.