The nearest airport is in Seoul (ICN-Incheon Intl.), located 22.7 mi (36.5 km) from the city centre. If you can't find a flight that's convenient for your trip, you could book a flight to Seoul (GMP-Gimpo Intl.), which is 2 mi (3.2 km) away.
Consider catching a ride on the metro at Yangcheon Hyanggyo Station or Balsan Station to easily get around the city.