Well, yes, but I kind of don't know what to say about Kirk.
I've not really seen all episodes of the original, but my favorite of it was Trouble with the Tribbles. (I like strange cute creatures.)
I can remember Star Trek from the movies. (My dad was into the series... so I kind of got sci-fi and RPG geekiness from him.)
But yes, you're right. all of the captains have awesomeness factor to them. DS9 is just my favorite of the whole series because it was the only one where no one had to really go anywhere but to the station