I took the advice of the friendly woman in the tourist information office who recommended a B&B (a former hotel) in the South Downs countryside, about 6 miles outside Chichester.
The Woodstock House Hotel turned out to be in a lovely village, with a perfect courtyard garden, and next door to an excellent pub/restaurant (where a groom's party was having a pre-wedding pint and lunch).
There are interesting gardens and nature reserves to visit nearby, so it's an excellent location for touring, since I'm hardly needing to walk around town in the evening!
Much more to my interest is poking around country lanes looking at gardens and landscapes.
Having a small cozy single, with a window overlooking the garden, and a place to sit for late afternoon planning time - I'm grateful to have such a delightful opportunity.