These things sound great, but, in practice, it doesn't work like this.
Take sure start. We had three in our constituency: all of which are now children's centres. No one goes on a regular basis. The only time there is significant engagement is when there is a themed provision that appeals to middle class mothers with children under 3.
We also have three playparks that were purchased at extraordinary expense in our parish (think £70,000 for one smallish "interactive" installation, roughly the annual council tax of fifty homes in our area). One is used by three families, and that's it. Another is empty practically all of the time. The insurance on them is pretty hefty as well.
State provision is expensive. Really expensive. Look at it this way: if you buy your child an apple, you go to the supermarket, purchase the apple, wash it and give it to your child. Maybe you cut it up first.
If a Borough council wants to give local children apples, it requires meetings, purchasing decisions, tenders, finance, logistics and fuel costs, briefing papers, proposals passed, organising delivery spaces, packing, roll out, distribution centres, risk assessments, insurance, and possibly volunteers (who all need to fill out huge volunteering packs).
Unless you can buy those apples in bulk for a pittance, the cost of the council providing an apple to a child can be more than double the cost to the parent of actually buying the child an apple themselves, and will probably involve over 60 people in one way or another.
I'm involved in local government and there's a lot of things we would like to do that we just cannot because of the liability risk. The insurance cost, for example, of holding a kids' sports event for 150 children in a local park for three hours with parents in situ is over £400. And that's before anyone has turned up, done anything, or bought any equipment or prizes. And it takes months of planning.