You can go to the Shipping Museum and visit the remains of the Sino-French naval war. There are many models of the modern navy and they are worth seeing for free.
Fuzhou Mawei is probably a relatively biased area, taxis to go there will have to add 10 yuan empty fare. But here is a place with history. Mawei Shipping Administration may not have heard of it. Mawei Sea War should be impressive. There is a Shipping Administration Museum here. Unfortunately, time is limited and it can not be observed. Not far from the Shipping Museum, there is a Maweita Park, which is free of charge. It has a good view and is worth visiting.