Panshanger?
I recently flew into Panshanger. Its just North of London so would have things to do other than fly, looks like it has a decent set up for flying lessons/trail flights and has a good cafe while you waited on the ground (unless you took a 4 seat) so may be worth a look. However you cant guarantee the weather in the UK! Id suggest you pick a city/town you'd like to go to and then look for airfields near to it.