Anon, don't worry too much. It's simply ridiculous that people can't explain how a bike balances.
It's all on the handlebars. If you feel like you're falling to the right, turn them right. If you feel you're falling to the left, turn them to the left.
The faster you go, the less you have to steer.
That's the trick to balancing. Try it by pushing a bike with one hand, it's pretty hard to balance just with that (though not impossible). Then try to push the bike from the back with one hand while you have another hand on the handlebars ready to steer it the way I told you and it will be much easier.
The other stuff like countersteering, going faster and whatever else is for later. You just need the basics (which nobody has been able to explain for whatever reason) and practicing a lot wity those basics in mind.