We moved from London to outside Chichester, having spent many years researching by having lovely weekends away in various places. It offers so much but consequently is not cheap. Are you selling or renting? Are you looking to downsize and/ or release capital which will influence your choice. Have a look on Rightmove to see if there are the right type of properties for you at the right price, remembering that it is written by estate agents eg distance to station is as the crow flies!
Do you have family and friends in London who you will want to keep in touch with. How frequently? On escape to the country people often talk about having space for the family, but the reality is that if it can’t be done in an easy day trip, it won’t happen very often as everyone has busy lives. If indeed you do have people in London, which side of the city? Our family live in North London so it can take 2 and a half hours to get here, especially if everyone is going to glorious West Wittering etc. On the other hand they are delighted to offload the children in holidays as we can take them to the beach, countryside walks etc.
We had friends who moved from north Surrey to deepest Dorset, not well served by trains, who moved back after a while, specifically because they discovered their friends found it too far to visit. Yes you can make new friends but they didn’t want to lose good friends of many years. These days it is very expensive to move, let alone the upheaval so you need to get it right.
Having also lived in Yorkshire, there is no doubt that winter is longer. Snow and frost is now a rarity down here (which in turn has an impact on the garden).
Many people have made the important point about future proofing. Even if you drive now, that may not always be possible for all sorts of reasons. Public transport can be a problem in many areas, even smaller towns, infrequent, stops very early, nothing on Sundays.
There are lots of places with access to countryside and most are friendly, if you are. Good luck in your adventure.