It's called vanity address and there are applications that can do this for you. And if you don't want too long starting (vanity) part it can be done even with your own computer.
One such software doing this (from 2011!) is Vanitygen: Vanity bitcoin addresses
One such software doing this (from 2011!) is Vanitygen: Vanity bitcoin addresses
Wow, that's a looong (and old) topic... and it's exactly what I was looking for! Thanks!