Best area for a family in Kensington & Chelsea?

[pinkberries]

My partner and I have lived in three homes; two in South Ken, and one in Knightsbridge. We love the area and have really want to stay here. We're planning on moving out into Surrey in 5 years time. Until then, we want to rent a place here. Since I'm pregnant, I really need a family-friendly area that is quiet, like South Kensington.

I also really want somewhere with good playgrounds, access to nurseries, quiet and with plenty of greenery. Can anyone suggest an area?

How about on one of the gardens squares like Queensgate Gardens or Cornwall Gardens? Near the park but also nice having a private square so children can feel more freedom and have friends over easily?
We mostly enjoyed the playgrounds in Holland Park / Hyde park but sometimes too Normand park and Bishops park.

We had a wonderful flat on Cornwall Gardens for seven years, almost 3 of those with small children. The area is great, Hyde Park nearby, classes etc. However we wanted a much larger house and to be somewhere quieter and even more family friendly so moved to Fulham 2.5 years ago. Location of SW7 is awesome but I found my requirements changed once children came along (particularly the second!)

Thurloe Square has a lovely garden square with a large area for children with swings, a sandpit, etc.

There are apple, pear and plum trees too - all fruit edible - bonus!