I don't know when your husband lived there; it's changed hugely in the two decades I've lived in London. It's now lived in by upper middle class people priced out of K&C but too urban to contemplate living South of the River. Sadly it's also bordered by some very scary council estates, which may not affect you but can make for an unsettling atmosphere.
You're looking at £1.25m to £4.5m for family houses depending on location, size etc. If you specify roads I can tell you more. (We have a small family property management business, although Brook Green is no longer our patch as prices have escalated beyond my target clients' reach). Finley Brewer are the key local estate agents and very well regarded.
State primaries are very good and state secondaries are improving, but if you can go private and have little girls there's probably nowhere better in London to live: at least half a dozen of the very best prep and secondary schools in the country are right on your doorstep.
For parents of young children, social life is centred around the schools (which are very social indeed), the nearby private members' clubs such as the Hurlingham, Queen's, RAC and Park, and local good causes, such as the Maggie's centre and Music House.
It's NOT a yummy mummy area, if that's what you're looking for. For such an expensive area it's a very gritty urban mix and most of the mothers are working full time to support their enormous mortgages. If you are not working and not French (there's a big ex-pat community) you may struggle - the social networks tend to be slightly sloaney schoolfriends from way back. There are some nice cafes, bars, gastro pubs with a proper local feel.
Westfield is ten minutes' walk away and the transport links are superb.