We finished TNG almost in time for "Picard"--ended up delaying the first episode by a day in order to watch "All Good Things." Obviously, that was a good call, since so much of the new show has referenced the series finale. I really enjoyed watching the whole TNG series, as I figure I'd only seen maybe half of the original run when I was a kid, and I was a bit sad to see it end. I don't plan to watch the TNG movies, thank you, as once was more than enough.
So now we're on to DS9! When it came out, I was 15 and a fan of the original series, movies, and TNG. I didn't like much of anything about the first episode: it was dark, it wasn't about "trekking" at all, everyone seemed angry and unlikable. I immediately quit and didn't watch any more episodes. Now, I'm realizing I missed out. We're eight episodes in, and it's off to a much stronger start than TNG. I'm really enjoying the Odo/Quark interplay, the simmering political issues, the dialogue, and even the darkness in the characters.
"Captive Pursuit," "A Man Alone," and "Dax" (even though it was effectively a remake of TNG's "Measure of a Man") have been the highlights for me so far, as they explored these new characters and expanded the Trek universe in ways I found interesting. The worst so far is "The Passenger," with its stupid plot, junk science, and an embarrassingly bizarre performance by Alexander Siddig. "Babel" was also silly, and "Q-less" felt forced. I like Odo, Quark, O'Brien, and Kira quite a bit; I hate Bashir's character and I don't understand Sisko yet (I don't think Avery Brooks did either). Looking forward to seeing how the show develops as we move forward, since it's all totally new to me.