Areas to live zone 3/4 London

[Bodhgaia]

Hello,
I currently live in Palmers Green with my husband and baby. We are selling our flat and looking to buy a 3 bed house for a 750k budget.

I am looking for some inspiration in terms of area that would tick the following boxes:

1. Near tube for proximity to central London and work (not train)
2. Lots of nature (not just tiny parks)
3. Great schools
4. A villagey feel and a pedestrian/car free center or road with nice shops and coffees, not just an uninspiring polluted long high street. I grew up in France and Italy so like car free cities (my family is from Venice). So I really want to find something as close as possible to a low-traffic area so cleaner air and not too much traffic and to be able to walk everywhere locally rather than rely on car. Not having to cross big roads to get to park or cafes.
5. If possible some culture and a nice community spirit

We have been considering Bowes Park (although a bit too close fo Green Lanes and North circular) and Walthamstow (although the centre non village bit seems a bit intense).

Does anyone have any suggestions? Thank you so much!

There are properties on Rightmove within that budget (albeit sold STC) including some with off-street. It's absolutely doable.

Hanwell almost meets your criteria...
It has proper green space (for zone 4)
Good schools
Good community (local carnival, festival etc)
You don't have to rely on a car and if you live in the right area you don't have to cross busy roads to get to parks etc.
It's in your budget
But...
It's Elizabeth line rather than the tube (and although services are likely to get better I wouldn't expect more than 6 trains per hour in the near future).
It's bisected by the busy Uxbridge road so shopping area doesn't have the feel you're looking for.
Other areas of Ealing are more villagey (pitzhanger/Northfields) but you'll struggle with your budget.

www.rightmove.co.uk/property-for-sale/map.html?locationIdentifier=POSTCODE%5E270261&minBedrooms=3&maxPrice=3000000&numberOfPropertiesPerPage=499&radius=0.5&propertyTypes=&viewType=MAP&mustHave=&dontShow=&furnishTypes=&viewport=0.00631942%2C0.01516%2C51.5581%2C51.5681&keywords=

Urg, link went tits up. It was the Malvern Road house I was trying to link to

Thank you a million everyone! This has made me add some new areas to explore on my list.

The reason for preferring to be on tube rather than train is having had a lot of train problems living in Palmers Green and wanting a bit more ease for commuting. But maybe overground rather than train could be a compromise.

I'd look SE and not worry about the train thing.

We live in Penge / beckenham and that's a lovely area for families. It's not pedestrian in the centre but has a village feel and good schools

There's loads of stations with a variety of lines. It means that if one is down usually the others are working.

No advice but I totally agree on the non busy road right through the high street! The first thing they should do if they want to reverse the death of the high street is to make them pleasant to be in and start pedestrianising! They did that to ours recently, not the whole way down but enough to make it impossible to use as a thoroughfare and it is so much lovelier! Everyone should start a campaign for this in their town.