UTA is located about 25miles from DFW airport. Most the hotels in the Entertainment district as linked in the local hotel are located less than 10miles north of UTA and thus are within 20miles of the DFW airport.
Airport: The primary airport is the Dallas-Fort Worth International Airport (DFW) which is only about 25miles from the University of Texas at Arlington. The second airport, The Love Field is in downtown Dallas which is about 30miles from UTA.
Rental Car: DFW Airport has most the major rental car companies. So you can pick and choose the best that fits your needs.
Local Taxi Service: In case you do not want to rent a car, you can use a local taxi service. Jae uses Better Airport Service (817-239-3000) in case he does not drive to the airport in his own car. The taxi service will charge $30, excluding gratuity to most the hotels in North Arlington area. One could also make a reservation on the web site, betterairportservice.com. Of course, one can always use Uber or Lift since City of Arlington allows such services.