Speedy; everyone uses the counter steering method to get a bike through corners, although some are not as aware of it as other people
When I first rode, I asked a similar question on the .org. Baph suggested I go into corners gently, and fire it out the other side, rather than steam in and try and keep the momentum. This method works really well and helped me develop confidence.
A couple of other things I have found; grip the tank more with my knees, and the handlebars less with my hands - this encourages me to keep my shoulders relaxed, allowing the bike to do its work undermeath me, while I still maintain control.
Road positioning also helps; dont hug the inside of a corner, keep out a bit, so you can see further around the corner. This way you have room to tighten your line if the bend starts to close up, without needing to roll off the throttle and/or apply front brake, loading up the front tyre and making the steering heavy. This draws me to something else I was told - keeping a positive throttle (i.e. not decelerating) will help maintain the balance of the bike, thus aiding cornering.
But the most important thing is to get lots and lots of miles in. My dad's boss told me it'd be a few thousand miles before I would feel comfortable...and he was right.