yes I have a photo for everything!

look at this picture, here is where our Sun is in the Milky Way (our Galaxy for people like Colonel who did not even realized we were inside a Galaxy...), the Black hole is the middle of our Galaxy, when you see the most light, because many stars are attracted by it. The blackhole did not devoured us yet, because we are far away from it: 26,000 light-years from the Solar System. And like the spiral arms don't mean that the mass is getting sucked to the center. They're just wave-like density patterns.
The bodies in orbit around the center of the galaxy are in stable orbit; just like the Earth around the Sun and the Moon around the Earth. What happens is that gravity accounts for the centripetal force (in the orbiting frame, gravity is balanced by the centrifugal force), so there is no net radial acceleration "left over" to suck the body in.
The only reason things would fall into the center is if they were headed there. This can happen if two stars pass by each other and are slingshotted in opposite directions, one of which gets sent to the center of the galaxy.