I guess you mean the South Downs, Sarapva? We are at the foot of the North Downs here. Not quite as striking, but still some lovely walks to be had, and again pubs to aim for
Did you ever visit Leeds Castle or Groombridge Place, two fantastic spots. The Italian garden and maze at Hever Castle are also nice: nothing finer than an outdoor performance of Shakespeare overlooking the lake there.
On the subject of pubs, so many are closing down around here, even historic ones. They're either being taken over by large chain-operations and turned into soulless clones, or being knocked down to build flats. It's heartbreaking.
Ah, the Chunnel. I did take it back from Paris once, on a holiday back in Europe from Japan. For such a flagship project, I was expecting something approaching the quality of the Shinkansen. No such luck - cramped seats, very little room for luggage and rather dirty - just like British Rail!