Hi there,
I work for a property finding and relocation company called Khalil & Kane. We have found that families are increasingly concerned with private outside space and are moving away from the centre of London. Some of the most popular areas have included Highgate, Hampstead Garden Suburb, Totteridge, Wimbledon, Richmond, Esher and Cobham. Much depends on where you are going to be working and how far you are prepared to travel.
If you need any further advice, I am happy to have a chat any time. Edw@k-k.com.