Whitstable was really grot 20 years ago but has turned round now and become very trendy. Janet Street Porter and a few other media luvvies live there now which is either good or bad, depending on your politics...
The regeneration has pluses and minuses. Now there are any number of fab restaurants (almost all serving the locally landed fish/oysters), loads of boutique shops, 'independent' cafes and suchlike. There's a small theatre and a cinema which shows trendy films. And there's the beach of course. Pebble beach but very very shallow for miles out to sea, so very popular for learning to sail/windsurf. If you want to get a flavour google 'whitstable oyster fishery' and book a weekend in one of their fisherman's huts on the beach.
And the downside? Well, it is full of the Boden brigade at the weekend and many Londoners have second homes there, which means it is rammed on summer weekends (sometimes taking 45 minutes to travel the 1 mile into the town) and deserted mid-week in the winter. I think the closest good primary is Blean which is a good 20 minute drive from Whitstable (and you may be out of catchment). I think also that secondary children mostly commute to Canterbury, but am not entirely certain. The Tescos is way out of town so you need a car for that (or bus) - whereas in Faversham the supermarket is in the middle of town. Public transport links Bus/Train to Canterbury/Fav/Herne Bay are very good.
Chestfield, by the way, is boring but quiet. There is a very large golf club there and that's about it. BUT it is civilised, full of families and bus links are ok. It is surrounded by woods which you can roam in. The train station though is quite a way out of the centre of the village.
Tenterden is really lovely and rurally. that part of kent is far more 'Darling buds of May' country than fav/canterbury/whitstable. It is more charming but also more expensive. Friends who live there tell me that train commutes are not great (crowded) but I have no idea on that. You will get more for your money around Fav/whitstable than Tenterden I think. But that of course is because people prefer Tenterden (esp re: schools)
If I had to pick top recommendations for 'traditional village' I'd go for Wye (though it's v big now) or Boughton under Blean, or Blean itself - primarily because they have good schools, shops and transport links. If I had to recommend a town I would go for Canterbury first, then Faversham then Whitstable, primarily based on (a) general convenience and schools and (b) hellish drive into Whitstable on summer days.