Developmental psychologists have brainwashed the public into thinking children can be ruined by insufficiency dedicated parenting. But for generations developmental psychologists were Lysenkoist hacks who didn’t realize their studies were confounded by basically all mental traits being extremely heritable.
The most important influence parents have on their children is at conception. If you want a smart kid, choosing a very smart mate is far more effective than any amount of mostly ineffective enrichment activities.
If you really care so much about the social status of your future children, marry well to a person high in the traits you value, preferably from a family high in said traits. Then have a lot of kids. Chances are one of them will achieve something!
Don’t get caught in the extracurricular signalling racket/cargo cult. Let the kids do what they want within reason. Public school will be fine. If you don’t want to ferry your kid around to various enrichment activities, don’t. Your time has value too. You care for your children; you do not serve them.
In most cases the kids don’t want to to do them anyway and will develop their own interests they will be far more enthusiastic about.