How can I reach the Huai Hua Airport from the Fenghuang Village? Are there taxi or other ways to go?

There is no direct bus to there. You can take bus from Fenghuang Ancient City to Huaihua West Railway Station. The bus departs from 7:40-17:00 and costs CNY40. The duration is about 1 hour. Then take shuttle bus from west station to the airport. It operates from 8:20 to 19:30 hourly and takes about 70 mins to the airport.

If you take taxi directly from Fenghuang to the airport, the cab fare is about CNY500-600.