Only thing I’ll say if you’re gonna be watching TNG - which I also very much recommend; it’s my favourite TV show! - is that, like, if you find it a struggle to get through the first two seasons, just skip ahead to season 3 and go from there. The show takes an absolutely dramatic leap in quality from season 3 onwards, and a lot of people end up never seeing any of that stuff ‘cause they burn out on the first two, which are, for the most part, just straight up bad.
Generally speaking, I recommend people watch Encounter at Farpoint, The Naked Now, Datalore, Skin of Evil, Q Who, and The Measure of a Man, then skip to season 3. That way, you’ll be introduced to all the characters, and the plot threads that’ll actually be carried through to the better seasons, while only having to sit through a minimal number of duff episodes. (Oh, and The Measure of a Man’s actually fantastic. Like, it’s possibly the only genuinely good episode in those first two seasons… But it’s also one of the best episodes of Star Trek ever made.)
Of course, if you’re enjoying yourself, just watch the lot. Equally though, try not to let yourself be put off the whole series if you’re not having a good time with the first two seasons.
EDIT: Oh, by the way, just in case anyone from the NeoGAF Discovery thread’s hanging out here now: I was Breqesk over there. Actually been on the Waypoint forums for longer than GAF, though.