Black holes are basically just super massive bodies. Say hypothetically the sun was replaced with a black hole of equal mass. Nothing would change, except for the lights going out and the solar system suddenly getting a lot colder. But black holes don't suck anything. You're only in trouble if you get too close to it, which would be the same for the sun anyways. And if a black hole was that close to us, we'd notice tidal forces first as it would disrupt the orbits of stable bodies, like the earth, in the form of producing tremors. Depends on how close it got to us. But we would probably have noticed its affect on other stars before it even gets close to us. And I think the closest known black hole is around 60 light years from here. And they can't travel faster than light. But even if we did make a rare pass, collisions are still rare. And you wouldn't be sucked into the sky.

Anyways, now that I've alleviated your anxiety, how about a fresh new dose of it? Your phobia reminded me of a horror manga I read once, called Hellstar Remina. After discovering a strange new planet, a scientist names the planet after his daughter, Remina, only to discover that the planet is on a collision course towards Earth. With the apocalypse coming, society descends into anarchy, and with no one to blame, the whole world projects all that blame onto the scientist who discovered the planet, and his daughter, who its named after. The story follows his daughter, Remina, as the whole world wrongfully blames her for the coming apocalypse and hunts her down. Make sure to read from right to left.