Definitely practice your cornering. A big empty parking lot works well. If you can find a couple of people to work with that would help too.
Remember, inside pedal up, weight on the outside pedal, press down on the inside hand.
Also, you want to be comfortable riding in the drops. You're more stable cornering in the drops. (lower center of gravitiy). So you want to get comfortable turning while you ride in the drops, if you're not used to that.