Nice shops East Dulwich, good range, the library.
West Dulwich, good transport links to Victoria ( 12 mins) and on the thameslink to kings x and St Pancras. Excellent first hand award winnng bookshop whose dynamic owner, Sheila, gets really exciting people to come to talk. Dulwich bakery artisanal and good.
Dulwich village, the park, standard restaurants, Gail's bakery v expensive but nice. Hat and dog pub being redone. The picture gallery stunning. A jewel in the crown.
Drug dealers hang round the college and in the park a bit. But not no go areas unlike some london parks, far from it. A v happy community of dog walkers. And you can play tennis, learn to ride, cycle, golf, and take a boat on the lake.
Myself, I'd go more for west Dulwich, but that's because I don't need the vibe round East Dulwich. Teenagers can/ do find west Dulwich v v boring.