OP, I like the look of your Cornwall house - very nice! But, overall, this is something that DP and I disagree on as I really don't want to have to maintain and worry about lots of properties. He thinks we're getting staff to deal with it all but I'm not managing them either. I would like a PA but I think I'm going to use one of those companies where there's a team of people helping in the background.
I think I'm going to buy one house, something like your my Cornwall pad. I'm also looking to buy lots of land for woodland. And, I'm planning to rent places for 6 month stints all over the world, so I can travel, with all the comforts of home.