I just got my first bike, a '66 Honda CL77.

Look at her.. so hot! Anyway, I am having a problem with it: It dies on idle if I do not open up / feather the throttle slightly. Other than that it runs great. This is my first bike, and I am ordering this book on it, but I was hoping y'all might be able to give me a few suggestions on what might be the problem. I'm mechanically inclined, but I've never worked on a bike before - only cars.
Thank you!
Adam
EDIT - I should mention that I noticed that if I park it and leave the fuel petock open the right carb will leak fuel. I don't think it is leaking at all if I only have it open when it's running. AND it usually starts on the first kick, but if I screw up an bunch and have to kick it around 8 or more times fuel kinda leaks out of the fuel cap and runs down the side of the tank. Which sucks to wipe up with your bare hands.