From Billund airport fly to Copenhagen airport. 50min $111. From Billund Lufthavn line 44 bus to Esbjerg st, train to Koebenhavn H, then train to Koebenhavns Lufthavn st. 5hrs 09min $69. From Billund drive to Kastrup. 2hrs 48min $55. From Billund taxi to Give st, train to Herning st, taxi to Karup airport, then fly to Copenhagen airport. 3hrs 12min $221.