Wow! Lots of good suggestions. Since I don't have straight or drop bars (I've got a Townie 21), I'm not sure the bar end mirror would work - it would seem that my arm would hit it while riding. I should have mentioned the bike brand when I first posted this. Good point on trying to keep the mirror away from your eyes in case of crashing, but I wear sunglasses while riding, so hopefully they will protect in that case.
The Take-A-Look looks very interesting. I think that's the first thing I'm going to try. Since I wear glasses, it looks like it can mount on either the helmet visor or on the glasses.
Thanks to all for your help. I really appreciate it.