The nearest airport is in Copenhagen Airport, Kastrup (CPH), located 2.4 mi (3.8 km) from the city center. If you can't find a flight that works for your travel itinerary, you could also fly into Malmo (MMX-Sturup), which is 30.1 mi (48.5 km) away.
You can get around Sundbyerne by catching a ride on the metro at Lergravsparken Station, Oresund Station or Amager Strand Station.