I live in Tooting Bec too, having lived previously 'between the Commons', in Balham and also in 'Bellevue Village' / Wandsworth Common. I would say that it all comes down to price and what you can afford to pay.
It's a simple fact that there are nicer cafes and shops in the areas that I list above, than in Tooting Bec - however, I love the area and feel very safe. New coffee shops are springing up all the time in Tooting, so you just need to look a little harder. And, you get a whole lot more house for your money and more garden too if that's important than in the smarter areas. That is the reason we bought in Tooting Bec - the same house would have cost £50k/£100k/£150k elsewhere. I'm sure the same can be said for rental prices.
This is only my opinion, but I hope it helps you a little!
Good luck with the move!