I ususally start by going to the DP keyword tool and typing in the general search word. Then I find a more specific one that interests me. Then go to the search engines, type it in, and see if you feel like competing with whatever comes up.
I also use NicheBot to help me with the analysis. Basically, if we listed keywords here -- they would suddenly become competitive.
Yeah, I would only give away good ones in some industry I don't care about. But then I would never do that keyword research in the first place...