I'm looking for a blogging program that would allow multiple users to have their own bloggs -- similar to Blogger, etc.... I would host this on my server.

Are there any out there?

I belive however I could be wrong that there is a mod for wordpress that lets you do this, cant remember its name though, take a good look on google you may come across it.

this is the site you want , it is good for blogging
wordpress.org/download/

The most famous is WordpressMU and you can find it simply with Google (sorry but i haven't yet the 5 messagges need to paste url! :P)

Wordpress would be a definite choice. It is really great.

Check out wordpress.org. They may have what you need.