Chrome – Google Chrome Sync extension preference

You don't even need an extension. Just go to Chrome preferences and click "Personal Stuff" and choose "Set Up Sync..." Then enter your Google account information. Repeat this for all the computers you want synchronized. This will sync everything, passwords, extensions, bookmarks, etc. When setting up the sync, you can also specify what to sync if you only want extensions.

I'm not sure about Chrome's internal sync, but you might try XMarks sync. It offers sync between browsers as well as computers across the internet. It supports all 4 major browsers. You can also access your bookmarks from any computer via their web portal, in case you find yourself on another computer and need access to your bookmarks. And if you upgrade to their pay service, you can sync to your iPhone, Blackberry or Android device as well and gain access to their open tab sync, where you can close your browser on one computer, go to another computer, open up the browser and all the tabs you had open will be opened on the new computer.