Fallacious yet widespread and documented beliefs courtesy of Wikipedia.
Black holes, unlike their common image, do not act as "cosmic vacuum cleaners" any more than other stars. The collapse of a star into a black hole is an explosive process, which means, according to Mass–energy equivalence, that the resulting black hole would be of lower mass than its parent object, and actually have a weaker gravitational pull. The source of the confusion comes from the fact that a black hole exists in a space much smaller but orders of magnitude more dense than a star, causing its gravitational pull to be much stronger closer to its surface. But, as an example, were the Sun to be replaced by a black hole of the same mass, the orbits of all the planets surrounding it would be unaffected.