I was born and brought up in Chiswick. Lived there for over 55 years, and only moved away in the last year. I thought I would miss it desperately but I don’t.
The combination of park. river and high street along with leafy streets is great. It definitely is family friendly, but so are many other surrounding areas.
In my view it used to be fabulous place to live. Not so much now.
Transport isn’t that great especially if you live on the South side of the A4. You will spend your entire time queuing to cross the A4 or walking to and from the high street (using subways to get across the A4). Travelling through Chiswick High Road is now an absolutely nightmare with the silly dangerous cycle path. Street space has made it a pain to get in and out of Chiswick without sometimes having to double your journey time.
Tube is OK, but would be much better if the Piccadilly stopped there, or Crossrail. Buses are good, but now there are no bus lanes in the high street they will get held up.
As PP said, parking can be a problem without a drive. Lots of multi-car households with big cars in some parts.
Planes are loud on some roads. By loud. I mean twice a minute in Summer they will drown out your tv if you have the window open.
The restaurant scene used to be amazing but crippling rents forced some out, and many have closed along the way. Removed parking due to Covid won’t help. There are still a few amazing independent shops hanging in there.
It also isn’t as safe as it might appear.
Honestly - Northfields, parts of Brentford/Ealing/Osterley way better. You would get better transport, bigger property and still be able to pop into Chiswick.