If you are exploring the city of Fukuoka, this is a great place to start. The Kuko subway line stops at Hakata Station, which will take you all over the downtown area, as well as the Fukuoka Airport.
For access to the rest of Kyushu, many Limited Express JR trains stop here, such as the Kamome
, with service to Nagasaki, the Ariake
to Kumamoto, and Yufuin no Mori, which goes to the Yufuin hot springs in Oita. Even the luxury Seven Stars in Kyushu
train starts in Hakata!