mmhh.. well, then all you need is practice. I'm in mexico city but when i was @ university, I started reading the maya docs and also, i start with those tutorials in the maya learning book. That helped a lot but then, everything has been reading/practicing. Not only following tutorials, but also changing some parts while i was reading them.. that will help you a lot.
Your background is a plus for you. The general knowledge about computers is do what you want in order to learn. There's a lot of useful links all around, but the most visited and useful is http://www.learning-maya.com .
Try posting your wips in any forum you want and ask for comments and crits. Try going deeper into every tutorial you do and you'll start doing pieces of a reel. This reel can help you get an internship in your area.
About gaming, there's a very interesting place for you..