the sun orbits the galactic core of the milky way.
in the core there is a super massive black hole (its called Sagittarius A*)
http://images.tribe.net/tribe/upload/photo/9d9/cf4/9d9cf472-8e56-4a04-afd3-f847a3a7c513.large-profile.jpg
http://en.wikipedia.org/wiki/Sag_A*
the sun take 227 million years to make a complete orbit around the galaxy.
humans have been around only for 8 million years.
don't worry about the black hole. it's gravity won't pull us in, we are simply too far away from it.
http://www.terremoto.ca/images/milky_way.jpg
the sun orbiting the galaxy doesn't have anything to do with eclipses.
peace