I don't get this... can you help??

So by looking at slandered candles in the far galaxies, astronomers managed to calculate the distances to them... finding out that the universe is expanding... what I don't get is this, if the universe has no center, and we are not the center of the universe, than why is the nearest galaxies not moving away from us as fast as the furthest?? Shouldn't the whole universe be exhilarating apart everywhere?? Or Is that simply due to the fact that the horizon at the universes age limit is stretching things and making them look like they are spreading away much faster even if the universe is already exhilarating??? one last thing is it true that with time we would actually get a brighter universe as more of the distant galaxies inter the expanding horizon, and have we seen any of those new galaxies?? thanks! :)