If you have a strong heart, try and get access to a machine to record you're singing. A lot of people say, yours truly included, that the "tape" never lies - and if you don't happen to like what you hear, you can work on that part, and get immediate feedback by listening.
Also, a few other tips that I find helpful: Pretend that you are a superstar on stage, not a first time singer. In my case it gives me so much confidence, and I think the best singing is done that way.
Finally, focus on the starting of notes/words/prhases and the endings. I'm just learning more and more about singing, and one thing I've noticed is how smooth professionals end their notes/words/phrases.
Have fun, it sounds like a blast!