
Read Kant, for an introduction to the basics of deontology.
Read up some more recent work which tries to fix the problems of both. I don't off-hand remember anyone recent who tried to convincingly fix either system, so I don't have any handy references, but:
Here's a much better overall introduction to morality: http://plato.stanford.edu/entries/morality-definition/
After going through that, I recommend the author's book: http://www.amazon.com/Common-Morality-Deciding-What-Do/dp/01...
http://www.amazon.com/Common-Morality-Deciding-What-Do/dp/0195314212/