I happen to live in the Barge-Lincoln district John mentions, and it's really not within reasonable walking distance to restaurants and stores, however it is a wonderful neighborhood to walk in just for walking's sake. It's not far to shopping; the area is served by bus routes if driving is a concern.
The homes are overall lovely & unique, most built from the 20s to the 50s in a variety of styles, the yards are gorgeous in general, and it's a very pleasant walk down to Franklin Park. The park has a school, museum, track & tennis courts which are very popular. They also have free concerts throughout the summer, fairs, all sorts of events. Very family-friendly, lots of fun year round, really.