Sunroute is about 5mins walk from the Southern terrace, down a flight of stairs or across a bridge and use the escalator. Century Southern Hotel is along the Southern terrace. Do read the reviews, some feedback that the rooms assigned are small and cramp, which I have experience once out of 3 stays, I always choose twin bed instead of a single queen size bed. I heard the new JR Kyushu Bloom is nice, I have stayed in their hotel in Hakata before.