Welcome! We've lived here for over 5 years, so I hope I can answer some questions. It's generally a lovely place to live: friendly, quiet, beautiful countryside on the doorstep and lots going on (especially for children). Lots of woods for walking, good local park (and skate park for older kids). The village C of E primary school was recently OFSTED-ed and was good with outstanding features: it's very nurturing and inclusive, with really good extra-curricular activities offered. Other primary schools in the surrounding villages are also very good - you would struggle to find a bad one round here, in all honesty. For secondary, this is 11+ territory and almost everyone who takes it seriously has their child(ren) tutored - usually a year of quite intensive, tailored tuition during Y5 (the exam is in September of Y6), which is quite a stressful experience all round, even if your kids are fairly academic. The comprehensive options locally are fine however - the Misbourne (in GM) is a good school with nice kids and decent facilities.
Houses are expensive and not many detached ones come on the market. A lot of people live in the surrounding villages, which are beautiful, and many people register with a local estate agent and then rent till a house comes up - many don't even make it onto the open market.
No market, but two greengrocers in the village (one behind the pub, one opposite the Co-op), and another one in Prestwood (next village along) by the Malt Brewery, so hopefully plenty of choice. Lovely local farm shop at Peterley (just out of the village), with a big new cafe, and a really good eco/refill shop in Prestwood. GM High Street is attractive but not a huge range of shops, though some decent restaurants (Italian, Thai, Indian) and coffee shops etc. Nearest towns are Amersham and Chesham, which both have the usual high street options. For clothes shopping, Old Amersham has some nice shops for adults, otherwise it's probably the Eden Centre in High Wycombe.
Local church (St Peter and St Paul) is beautiful and welcoming, though quite trad C of E. There is a big evangelical church fairly nearby (we had some friends, who have since moved, who went there, and it seemed to do a lot of family activities and be pretty vibrant), though I'm afraid I don't know the name.
A new leisure centre has just opened up in Amersham (c.10 min drive away) with swimming pool, gym, climbing facilities etc, which is really beautiful. There is also an outdoor swimming pool in Chesham and a lot of local exercise groups. It's a big cycling area, if you're into that. Children tend to do a lot of sport, and there are plenty of local clubs (football, rugby tennis, hockey, cricket, tai kwon do, ballet, gymnastics, swimming, etc).
Potential downsides are that it is not a diverse area, though that is starting to change. (I am white - I hope it was ok to post here.) The secondary schools cover a wider catchment and there is greater diversity there, particularly at the grammar schools which are probably 1/3 - 1/2 BAME. The primary school in the village, by contrast, is perhaps 10% BAME at most. My understanding from talking to Black friends is that whenever there have been isolated incidences of racism they have been dealt with quickly and well, but I appreciate that I am not the best person to speak to about that.
Best of luck in your house search! Happy to answer any other questions.