I guess you are saying that because you learned the basics of special relativity or space-time, and began wondering why you age while you stand still...
it turns out we have some default motion through time, but not through space... this is just the way time is, why we only move through time in 1 direction but not the other (like we do through one of the spatial dimensions) is a mystery... it is called the "arrow of time" problem if you want to research it
things move through time without moving through space, but can't move through space without affecting their motion through time... if this seems bizarre just think about how the photon feels who moves only through space at full speed but doesn't move through time.
time does not move, space does not move, space does not bend, time does not bend, space-time bends because of mass... you move through space-time