http://www.telegraph.co.uk/news/science/space/nightsky/11492654/night-sky-in-april-2015-great-attractor.html
“Beyond all this is an unseen object called the Great Attractor which is pulling the Milky Way and all else towards it at the terrific speed of 14 million mph. What is this thing, how far away is it, and what will happen when we reach it? No one knows.”
We may not be moving away from the Big Bang.
After unknown amount of years traveling at 14 million MPH, one would think that by now we'd be getting closer to the source of attraction causing the pull to be stronger and increase the speed of travel and SPLAT!