Philip,
I record vocals very similar to how Danny, Bit and Hacker have described. I usually sing the entire song all the way through about 3 times. I will usually pick the best take. Funnily enough, it is often the first take and it is usually the one I feel has the most character. I might cut out and drag in a small section from another take if it has a little special something, but often, they are from a single track.
If I was to sing vocals and none of them were doing it for me. I will scrap them all and then just practice singing it for a couple of weeks. Then, take a few days off to clear the mind and take another go at it. I have become much more patient rather than trying to rush something out.
I usually double track or triple track the chorus's, spread them out and run them through a buss with verb or short delay on them.
Verses I have been know to run a double track very low in the mix where it is really not heard but fattens up the lead vocal. It has worked for me to volume automate on occasion and boost a short phrase or a couple of words as a double take, just to emphasize that phrase.
It has also worked on some songs to, kind of, change my voice and sing a backing part. Hard to explain, other than...think Rich Little. LOL.