In the case of TNG I'd recommend just starting at Evolution which is almost a soft reboot of TNG. I think of it as TNG PILOT 2.0.
It's very much a new beginning the show. There is an instant new vibe about the show from the very start. New uniforms. Lighting has been changed. Everything is just more confident somehow. And it's interesting because behind the scenes it was not exactly a comfortable show at that time. It was a show very much running on adrenaline I suspect after the very mixed results of S2. But thankfully it was a brilliant season and helped lay the groundwork for the show as it was for the last 4 seasons.
You guys might like this, a list of things TNG started but never finished.