What is the best transportation from Chengdu Airport to Holiday Inn Express Huanhuaxi?

Well, there is no direct free shuttle bus. You are advised to take shuttle line 1 from the airport to 2nd Section of South Renmin Road first. The ticket fare is CNY 10 per person. After arriving, take a taxi to your hotel directly. The cab fare is about CNY 20 at that time. The whole trip takes 40-50 mins.

Thanks. Is Taxi is safe for lady to travel alone from airport to hotel?
What about airport limousine fare from airport to Holiday Inn Express Huanhuaxi?
What about airport taxi fare from airport to
Holiday Inn Express Huanhuaxi?

Yes, taxis are safe for ladies who travel alone.
The limousine fare may be around CNY 200.
The taxi fare may be around CNY 50.