TOS, everything is the same, except each main crew member has a kid (biological or adopted).
Episode subplots entail the kids trying to play matchmakers.
Kirk keeps aquiring new children from his wilder past
Spock has two adopted children, one full Vulcan, one full Human, but is open to adding more to his little family
Scotty has a whole group of kids he co-parents with Uhura
McCoy has his little girl
Sulu has his daughter, plus a handful of orphans he bonded with over the course of their travels
Chekov isn't a "parent" but has a big collection of "little brothers and sisters"

















