hey gretchen - in addition to ausgirl's excellent tips for cornering, I found it helpful to remember to both: stand on my outside foot/pedal when cornering as well as to focus on picking a line to follow on the corner and looking to where I wanted to go...not right down in front of my wheel. The body mechanics of standing on your outside foot helps automatically keep your inside pedal away from touching the surface and taking you down. And, no matter what the road ahead brings - just give a quick glance right in front of you to spot glass, potholes or other road hazards you want to avoid, then have your eyes focus on where you want to go - look ahead 10-20 yards and you'll "magically" avoid what you need to avoid. Sounds simple and it is - if you can keep yourself from staring at the big hole or roadkill or whatever and just trust that that brief glance will stamp the whereabouts in your brain and help you avoid it.
Hope it helps - tailwinds to you!
Mary