Tin Shui Wai Town Centre bus stop is located near Central park Tower, Tin Shui Wai Park, Woo+ plaza, Ginza LRT station, and Harbour Plaza Resort City Hotel. Bus no E37 leave from here to the Hong Kong Airport and vice verse.
After completing the new tunnel from Tuen Mun, the bus traveling time is reduced by more than half an hour, so reach there in one hour or so.
Once the bus crosses the Tuen Mun Tunnel, it reaches near to the Tung Chung, which is very fast, especially for Tuen Mun passengers; they can save lots of time traveling to and from the HKIA.
Tung Chung also developed rapidly after Hong Kong Airport was started, developing many residential buildings and hotels, i.e., Novotel, Public Hospitals, and much more; now, it is full-featured and property prices have increased quickly.
Airport buses also carry a lot of/passengers/ workers who work in the airport and near the area, so after the bus enters the airport region, it travels for more than 15-minute looping inside its coverage area bus stops and finally embarks the airport bus station. Some businesses directly go to the Arrival hall section, which is more convenient for travelers.
If you take a taxi from TSW to the airport arrival, it costs about HKD 355-400
If you go by airport express, you better reach Tsing Yi or Kowloon, Element station, but reaching from Tin Shui Wai to these stations is another landmark.
The bus is the best option to go from TSW to Hong Kong International Airport in my recommendation.