Git push over git protocol for corporate environment

First of all thanks to everybody for an amazing tool! I’m a big fan of
it, so I’m trying to get rid of CVS in my company and migrate to Git.

We are working in, I would say, standard corporate environment, so all
development is in internal network. We have multiple offices in
different countries. Currently as I said we are using CVS (don’t
ask!;))

My problem is that I need the simplest, easiest and fastest solution
from setup and maintenance point of view in a situation when we have a
huge CVS repo with hundreds of modules (projects) in it. My current
understanding is that we are going to pull out project by project from
CVS and create corresponding git repos.
So, this brings us to hundreds of git repos and over 200 hundred
committers. In this circumstances we don’t want to manage each repo
separately as well as we don’t want to manage each person write access
rights to each repo.
As I understand the best solution here is git protocol (one port only
on dedicated server and no security as we are in trusted network) with
read and write access configured for all repos on a dedicated server.
What do you think I should do? How to enable push over git protocol?

I would appreciate any recommendation about such set up and any links
to corresponding docs.

Thank you,
Eugene