I find that the best tool for the job is secure remove. The command srm will allow you to do a 38-pass deletion wipe that's good enough for most purposes. Note that it's not impossible to recover the data deleted in this method, just beyond the reach of any small to medium sized organization.
Install secure remove:
$ sudo apt-get install secure-delete
Now, you could use this command to bash script a quick exit, but without forking off your processes, a quicker way would be to run each part of your secure removal separately. This works very well if you've got multiple cores or processors. You can use process management tools such as screen or background processes to run multiple srm commands at one time.
The three basic parts of your server you should consider deleting would be the MySQL databases, Apache www folder, and your logs. If you've installed any other software, be sure to check those out as well.
MySQL
sudo srm -rv /var/lib/mysql/
Web root
sudo srm -rv /var/www/
Logs
sudo srm -rv /var/log/*
You'll have to use your judgment on the rest of the system on an individual basis. Don't forget to delete any backups you've made. The last thing you can do is clear out your private files before you exit.
sudo srm -r ~/.*
That's all. SRM uses a lot of processor and takes some time on larger directories and files, so be sure to start your deletes in a relatively parallel fashion if you've got to high-tail it out.
Expect to see the series on "The Tracker Demystified" next week. Hopefully, if I write loud enough, that might happen. ;)
CurlyFries adds: Only stuff that you delete with srm will be securely removed. For this reason, do not drop your MySQL databases prior to hitting /var/lib/mysql with your srm stick. If you do so, MySQL will (insecurely) delete your database files, and running srm afterwards will do you no good.
Oh yeah, and hush up. I'm getting to it.