That's quite a big question you are asking!
Do you live in the UK? If, as your question seems to suggest, you don't, then I really would think seriously about writing about places you don't yourself know. Not trying to be obstructive or anything, but I have read books by (particularly American) writers who appear, from the way they descibe their idyllic English villages etc., not to actually have been there. If you haven't visited the UK, it may not be convincing to the reader describing places you haven't even been to. Of course, if you are a UK resident, I apologise but then I also wonder why you need this information.
There are many beautiful places, but of course beauty is in the eye of the beholder. And what do you mean by Well Equipped? Many small villages are lucky nowadays to boast a decent pub, let alone a shop. There are some stunning villages in the Cotswolds, for example, but the prettiest and ones with the most facilities tend to be the tourist traps. Is that what you want? Many towns have attractive sides to them but also have council estates or other areas that are less than pretty.
Probably the best thing is to invent a place that fits all your criteria. It's been done before. Ruth Rendell bases her Wexford novels in a fictitious area. Midsummer Murders on the television is also in an invented place (not that I'd choose to live there with the high murder count, but that's another thing!). The main thing, though, is to make it convincingly English (or Scottish or Welsh or Northern Irish if you like), and that can only be done if you know the UK personally.
I know I haven't answered your question as you may like, but I hope I have at least been of a little help.