Does anybody know the timings of the ship from dalian to yantai and then back?

You can take the ship from Dalianwan Port or Dalian Coach Port.
From Dalianwan Port, there are ships leaving at 01:00, 08:30, 12:30, 14:30, 21:00, 22:00 and 22:30.

From the other port, the ships depart at 08:30, 10:30, 13:00, 21:00, 20:55, 21:30, 22:30.

The ferry fare varies a lot among different seats in classes, and the cheapest is CNY180. The voyage time is about 6 hours.