Your bib probably isn't perfect because you just learned to knit. Give yourself time. Everyone's first projects look funky. Can't play Mozart after 5 piano lessons, either, right?
As for binding off, you knit two, put the first one over the second one and off the needle. Knit one more, do the same. You'll get to the point when there are only two stitches left. Put the one st over the other as before, cut you yarn and pull it through the loop and tighten. Done!
Welcome to the forum, by the way. It is a lot of fun here, and you'll learn a lot. Just give yourself time to learn--you'll be amazed at what you can do in a very short time.