Well I have lived in Teddington for over 30 years and my children went to school and grew up here and have now flown the nest. It's a great place for families. Mine went through the main secondary school which has now been rebuilt, unfortunately after they left, at great expense but I gather it's results are very good. It now has a 6th form, so the pupils now have the option of staying on instead of going to Esher 6th Form College where mine went.
The parks are great, I have lately fallen in love with Bushy all over again, and still love walking in the Woodland Gardens and Hampton Court Gardens. Marble Hill Park in Twickenham was somewhere where I would go with the children when the first got into roller blading.
Newland House School was just up the road from where we used to live, mine went through the state school system I can't really give an informed opinion on the private sector, but I did know a few mums that sent their children there with mixed results.
The high street has changed enormously since I first moved here, restaurants were always prolific but there was a distinct lack of coffee shops, my coffee mornings at that time tended to be at mother and toddler groups in church halls, now Teddington High Street is awash with them with a couple of other welcome additions since then, a large Marks and Spencer Food and a Waterstones. Kirby's the Chemist in the middle of the high street, are very good and have now expanded offering specialised clinics and other services such as dentistry, their senior pharmacist who sadly is nearly retired was better than the doctor sometimes for advice on medical matters. Although our doctors' practice seems to operate fairly well and although you have to hit the phone lines at 8.30 and are held in a queue, I would say that we always seem to get a same day appointment and it was never a problem getting seen when my kids where young but that was a while ago. I believe they have extended their hours so commuters can get late appointments as they came off the train from their commute (the surgery is a couple of minutes away from Teddington Statio). Teddington Memorial Hospital is very good for dealing with accident prone boys and I was grateful not having to haul them either to Kingston or West Middx to deal with their mishaps such as sprained ankles etc.
My kids were members at a private club which had sports and swimming facilities but they did use Teddington Sports Centre, at the senior school for various activities including a Saturday roller disco, late juniors, early teens. One flirted briefly with cricket at the cricket club, but was more of a football boy and the other took up rowing at one of the rowing clubs off Broom Road I believe, again this was a brief interlude, as he was ultimately defeated by the early mornings in the winter and then got into other stuff such as playing the guitar and joining a band which every boy seemed to do aged 15/16/17.
Kingston now has everything, that wasn't always the case John Lewis is a fantastic addition. The redeveloped riverside is wonderful now with many of the restaurants having outside eating areas it's made that side of the town very special. I would recommend the boat trips, just along from John Lewis outside the white clapperboard building, these are seasonal and run in the summer months and go either up the river to Richmond or down the river to Hampton Court, it's a lovely way to spend a summer day. Kingston also has the Rotunda for films and The Rose Theatre, quite a few productions for the very young. Nearby Esher has an Everyman now which is a great cinema experience if you like watching your movies on a sofa with a glass of 
at your side.