is there a shuttle bus from Haiyatt Garden Hotel Houjie to Shenzhen airport or Guangzhou Baiyun Air?

From Houjie Guomeicheng Commercial Hotel, you can find direct buses for Shenzhen airport and the buses are 06:30 to 17:45 with interval every two hours.

The Guomeicheng Commercial Hotel is about 1.5 to 2km from your hotel, so you can take a taxi to reach that place easily.

what about to Guangzhou Baiyun airport?

I'm afraid there is no direct bus from your hotel to Baiyun Airport. Then you can walk from the hotel to Houjie Biaozhi bus stop to take bus no. 213, 217, 219, or 205 to get off at Dongguan General Bus Station. Then walk around 1,000 meters to South China Mall, near which there are direct buses to CAN! Well, the boarding site is around 20km from your hotel, so you may also consider taking a taxi to get there!