Take the F train to Bergen Street, and you're already there. Smith Street is a fun, hip area that's filled with restaurants and knick-knack shops. In the past 3 years, Manhattanites decided to get away from all the rushing around and planted their feet in this area, commonly known as Bococa (Boerum Hill, Cobble Hill, and Carroll Gardens). The restaurants, such as Pacifico, are refreshingly new and exciting and surprisingly affordable. A quesadilla with fillings of your choice will only run you a few bucks. French restaurants are popping up left and right. Some of the better ones include Bacchus on Atlantic Avenue and Patois, Cafe Luluc, and Bar Tabac on Smith Street. Strolling down Smith and Atlantic, you'll find great jewelry, antiques, children's clothing, independent designers, modern home stores, and bars with exotic drinks galore - all for much more reasonable prices than Manhattan.
Weave in and out of the smaller streets between Smith and Court, and you'll find old brownstones and stoop sales on the weekends. Young parents are everywhere, and children are often dressed better than the parents. This is a delightful neighborhood to stroll through and explore.
Check out this link for restaurant and store locations.