Metro Detroit is serviced by a world class modern airport with two major terminals operating under the airport code DTW and is commonly known as Detroit Metro Airport. It's a hub airport for Delta Airlines, but is also served by KLM/AirFrance, Korean Air, United, Lufthansa and most major airlines through network alliances like SkyTeam and Star Alliance. There are numerous daily direct flights to Detroit from most major international cities.
The airport is located about 35 minutes from the meet hotel and is served by Uber, Lyft, taxi services and "black car" services like MetroCars. The cost for an Uber to the hotel is about $35. On the high end, a black car is about $60.
There are three Delta Sky Clubs in the airport and Lufthansa and United also operate clubs.
If you choose to rent a car, all of the usual rental car agencies operate free shuttle busses to the rental car parking areas which are about one mile away.