If the big bang was the birth of everything, and the big bang was an event in the sense that it had a location and a time (time 0), wouldn't that mean that our universe has a center?

Where was the big bang? What is there now? Are we moving away from the center still? Are these even valid questions?

The big bang was everywhere, because distance didn't exist before it (or as @forest more accurately commented, "measuring distances was meaningless since the distance between any two discrete points was zero",) so from one perspective, everywhere may be the centre (especially as some theorists think, the universe doesn't have an edge)
The real issue is that the question shouldn't matter, as we can only gain information from distances within our visible radius and once we get to that limit, what we see gets closer to the big bang so it all looks closer to the centre.
Tricky eh
