DNAunion:
1) I think there is some confusion as to where the Big Bang occurred. So where did it happen? Right here where Earth is today.
Where else did it happen? Right there where the Sun is today. Where else did it happen? Everywhere in our solar system, in our galaxy, in our galaxy cluster, and so on. I had trouble with this at first, but once someone explained it to me it made sense.
Follow expansion back in time. All points gradually converge and continue to do so until, at the very beginning, all points in space - even those that are billions of light years apart today - were at the same exact "point in space". The Big Bang did not occur "over there" and shoot matter, or light, towards us "over here". It happened "right here", billions of years ago, no matter where in the Universe one is now. So at least some light didn't have to travel more than an inch to reach "us".
2) Lucaspa made a good point. By the time light was "set free", the Universe was already 300,000+ years old. And since inflation occurred before that point in time, the Universe had already expanded at speeds far greater than the speed of light in a vacuum. So by the time the Universe became transparent to light, there were points in space that were so far apart that it took light billions of years to catch up.
3) There are points in space, even today, that are receding from us at a speed greater than c. Surrounding every point in space is something called a Hubble sphere. Roughly speaking, all receding galaxy clusters within a given point's Hubble sphere are receding subluminally; galaxy clusters at the boundary of the Hubble sphere are receding at the speed of light; and those galaxy clusters that lie outside of a Hubble sphere are receding superluminally.