I was mid 30s, London, and bought just before children (but planned for them). Now heading towards secondary age.
I was adamant I wanted a freehold house rather than a flat, so compromised on distance to tube/train, condition (it was a wreck), and bought a an ex-council house on the edge of an estate. I cycle to the station rather than walk.
We wanted to stay in our area of central London.
Pros:
House with garden for children to play in. Was amazing in lockdown to have that space.
Have enough rooms for each child to have their own.
House prices rose more than flat prices.
Have not needed to move as family grew (stamp duty is horrific)
Children can be rough on a house so it being a bit rough matters less!
Central London so near tube and train, have buses and night busses for when the children are older, can cycle and run to/from work. Commute has been short and relatively quick (30 mins).
Cons:
Doing the house up takes time, money and stress, dealing with trades, moving stuff about, children living in a building site, DIY is time not spent with the children.
As they get older they notice the house is rough and feel a bit embarrassed.
Not being close to school. The closest primary is OK, but we travel to an amazing one. The knock on effect is that friends are not in walking distance so playdates harder.
The immediate area isn't as nice as their school friends' areas! Kids start to notice these things.....
Would like more internal space. An extra bedroom would be nice for office / family staying, better kitchen / dining space too.
Secondary in my area isn't great so might be moving soon.
With hindsight would I make the same choice? I think I'd make similar choices but ideally would be closer to school and children's friends. Maybe we should have compromised by moving further out and taken the hit on commute (e.g. lost the tube option and just on a train line).
With babies / very young kids you have a good 8-10 years to plan to be in one place where your world shrinks a bit and is centred on primary.