Several of Brooklyn's most notable sights are all within steps of each other at the western edge of Prospect Heights: Grand Army Plaza, the Brooklyn Public Library's main branch, the beaux-arts Brooklyn Museum and, just behind that, the 52-acre Brooklyn Botanic Garden.
A few miles beyond you'll find two of Brooklyn's most historic locations: Crown Heights has the Weeksville Heritage Center, site of the first community of formerly enslaved African Americans in New York City, while further afield in East Flatbush is Wyckoff House, the oldest part of which (1652) is the city's oldest building.
Atlantic Ave, the northern border of Prospect and Crown Heights, has a couple of chain hotels, and home-sharing websites will reveal numerous private rooms for rent in these areas. But probably the nicest options are the appealing B&Bs and guesthouses tucked into historic row houses and freestanding Victorian houses on leafy side streets. There are some especially nice ones in the tranquil neighborhoods of Prospect Lefferts Gardens, immediately east of Prospect Park, and Ditmas Park, just a few subway stops to the south.
Prospect Heights' Vanderbilt Ave is home to some acclaimed farm-to-table restaurants, while its other commercial strip, Washington Ave, has some more-than-satisfying midrange options, including some Korean and Thai places and a classic, old-school Brooklyn diner. Just east in Crown Heights is Berg'n, a large beer hall with a variety of food vendors that gets enjoyably lively on weekends.
A bit further south, Ditmas Park has some delicious local-cafe options, but if you're willing to go a few subway stops further, you can taste some of Brooklyn's most highly acclaimed pizza at Di Fara's in Midwood.
Prospect Heights is a small, laid-back residential neighborhood; its two main shopping streets, Vanderbilt and Washington Aves, have a handful of browsable shops (used books, vintage clothes, a boutique wine shop), but mostly the stores cater to residents. This goes even more so for Crown Heights's Nostrand Ave and Ditmas Park's Cortelyou Rd – although Flatbush Ave has a Gap Outlet store opposite the Kings Theatre if you're really dying for some bargains.
Drinking & Nightlife
Washington Ave, the border of Prospect and Crown Heights, has a large concentration of bars, but you'll also find a number of places on both Vanderbilt Ave (to the west) and Franklin Ave (to the east).