system
Given the following post, respond as if you're commenting on Reddit:
human
I'm told that the universe doesn't have a center, does that mean....

Despite my conceptualization of 3-dimensional space, up down left right, I'm told it curves on the grand scale.  Does this mean that I could pick a direction, start moving forward, and after an immeasurably long period of time end up in the same place?  

Similarly, is there a point in the universe that is as far away from us as possible, such that if one were to move in any direction they could only get closer?
gpt
Your question involves whether or not the universe is finite or infinite. 

The CMB shows a nearly even distribution which would indicate an infinite universe.  If the universe were finite, it would be possible to see reflections in the CMB - and these reflections are not present.  However, that does not mean they don't exist (if the universe if finite, but large enough, the reflections may not be seen in the CMB).

When we look at expansion - we note that all distant massive objects are moving away from all other distant massive objects.  That would indicate that there is no center (from which everything is moving away from) but rather that every point in the universe, from the perspective of that point, is the center.

Indeed, if we are not at the center of the universe, that *might* mean we could look further in one direction, then say, in another direction.  However, we know that we observe equal distances in all directions (our observational sphere) - and this is the same for every point in the universe.

We can pretty much be certain that we are not in the center of the universe since we aren't even in the center of our own galaxy, much less solar system, local galactic cluster, etc.

These are fairly hard to answer (except the center of the universe question, which is easy) because we have no real knowledge about what exists outside of our observational sphere.