I've just watched the episode that inspired this thread. And read all your comments about Brixton, where I live and am raising my family.
The one bed garden flat that they offered £462,300 for, is not in Brixton. It is in Poet's Corner, Herne Hill, which is unbelievably sought after, and you have to pay a whopping premium on the price to live in such a fashionable area. I live in a neighbouring road which is in the Brixton postcode, and when I was flat hunting the difference in price between the two postcodes was over £100,000, and I imagine that difference has increase. If you want to live somewhere considered to be the poshest place in the neighbourhood, then you have to expect to pay.
Someone said that Brixton doesn't have open space. BROCKWELL PARK! With it's superb play area and paddling pool, and café.
I like living in Brixton because I can get from home to my central London office in 25 mins. And the less time spent commuting means more time spent with my child. I've lived somewhere with a long commute before (leafy, middleclass, suburban Hampton) and it was soul destroying, wasting my life's hours on a busy train, hoping if I'm lucky to get a seat, and paying a fortune for the pleasure. Brixton, being the end of the Victoria line, means that I'm always boarding an empty train, and get a seat, which is nice, even on a short journey.
And just as it is easy to get in to central London, it is also easy to get to excellent schools, JAGS, Alleyns, Dulwich College.. etc. So by living in Brixton I maximise the amount of time I can spend playing with my daughter in the park, and when she's older she can walk to an excellent school.