An excellent animation from the nice folk at the Science Videos Blog. [spoiler: there’s a sad ending]:
Our journey ends just short of our goal. Approximately one tenth of a second before we reach the singularity we would be torn apart by the tidal forces. This happens regardless of the mass of the black hole. In all black holes of any size our journey will end at roughly the same spot. We will never reach the point of infinite curvature, where space and time as we know them come to an end.