Is that something that people should simply not try to wrap their head around, or is there a better way to think about it than comparing it to an explosion (... which has things moving away from a center)?
One thing to keep in mind, while it is an explosion the explosion started from the same place for everywhere in the universe at the same point as at that moment there where no 'other points'.
So, the universe started where I am, where you are, where the sun is and where the furthest galaxies are at the same time.
Which is kinda cool (and the reason why looking at the cosmic microwave background radiation (a) works and (b) is important)