I had been a TOS fan since the early 70s, and of course I saw the movies. When TNG came on, I was a huge enthusiast (read: over-the-top fangirl), and a major Picard fan (read: even more over-the-top fangirl). Looking for people to share my excitement, I joined a local fan club and a couple of actor fan clubs -- Stewart, of course, and also Gates McFadden -- the latter mostly by mail in those days.
I made a lot of friends in the local club, including a woman who was a good friend for more than 30 years (now, sadly, deceased). I also met the man who's been my husband for the last 30 years; we have a son together. With the club, I -- later hubby and I -- went to my/our first big fan-run cons, including one we still attend every year. Between the fan-run cons and the actor clubs, I was introduced to fanzines, and began writing fanfic. I still do. In those days it was mostly TNG; later I would branch out into other shows and films, and even some literary works. We've also taken up filking, and perform our songs on-line and at a few cons every year.
So yeah, TNG has had a pretty substantial impact on my life.