Bear in mind the impact of Goodwood if you move to East Lavant. There are many, many, Goodwood events throughout the year of which revival and Festival of Speed are the main two but there are a lot of others. Roads are closed during some of them to all but Goodwood traffic (which is crazy heavy), sometimes for a few days, making you a virtual prisoner in your home some weekends. North/ mid/ west Lavant and the villages above are less affected, though it can still be an annoyance.
There are no shops in Lavant and it gets very tedious after a while having to drive every time for a pint of milk. But the views here and from the villages between here and Midhurst are stunning.
You’ll have Centurion way and a ton of fields/ walks right at your front door which is nice. But the world and his wife and every cyclist/ dog walker in the area has the same idea, so much so that lockdown was an utter nightmare as it felt like a very heavy tourist destination. I very nearly moved at that point, as the poor dog was so stressed with the crowds outside her front window.
I’ve been in this area my whole life, save a few years in the middle, and it has lots of advantages. It’s home and I know everyone. If you don’t want the whole world talking to you/ about you it’s not the right place but it is friendly as a result and people look out for you. There’s very little crime and it feels very safe. That’s a huge plus. I’ve never noticed an underclass but I might be it as our house is at the bottom end of your budget!
The scenery is stunning. But I have to say in recent years I am feeling as though the negatives are outweighing the positives and looking at somewhere less conventionally attractive and with more amenities and less tourists, such as the villages around Emsworth, or around Littlehampton, or even so where like Crawley where there are loads of parks to walk a dog (the nicest park in Chichester bans dogs, as do a couple of others and so do a good few beaches in the summer) and many more mod cons.
Feel free to PM me if you want more specific info.