It was under Mayor Rudolph Giuliani that Harlem lost its violent reputation. However unpopular his hard-line police tactics made him with some local politicians and activists, there is no doubt that the Giuliani era, which also saw the city's economy boom, transformed the traditional centre of black New York. The burnt-out cars and boarded-up buildings have gone along with gunshots in the night. Yuppie couples now snap up the elegant brownstone terraced houses that would fetch up to £1.5 million downtown but here are £300,000 bargains, although a burglar alarm is still a good idea.