We are a family of 5 (2 adults and 3 children) that will arrive in Wuhan Airport 23 July 13.30.

Upon landing, you can take subway line 2 from the airport to Xunlimen Station, Exit A. Then walk southwest around 600 yards to find the hotel.
Or for your convenience, you can also take a taxi to the hotel directly. You can share one cab. Generally speaking, you don't need to prebook one. There are always several cabs waiting outside the airport. The cab fare is CNY 70-80.