As a graduate student looking to learn LaTeX, I'm curious if you know of any decent first references? I've had to work in it before and learned enough to get by, but am looking to learn more.
In any regard, for the love of god, please don't use Word or OO.org, you WILL regret it :-)
Also, you probably will have to present your research at seminars/conferences etc.; I'd suggest you take a look at the Beamer document class for LaTeX.