My kids are interested in programming because they saw me playing around with Alice one day. http://www.alice.org/ I agree with the comments gamer does not equal programmer. Most of my friends are gamers and I will play for a bit but I am the only one that codes.

You could get together with some friends and start a non profit to take old computers, repair them, load you fav distro on them and give them to kids that can't afford them. I know of three non profits in my area that have recently started to do this.