I'm planning to travel to Horsens Denmark on July for two weeks. I've seen there are no airports there and the nearest airports are in Billund Airport (58km), Aarhus Airport (90km) and Karup Airport (103km) *although there aren't any frequent flights for the last two or not at all*. Another option I've seen is to travel to Copenhagen and from there to Horsens by train.

Are there any other/better ways to reach Horsens? And which would you suggest?
Are there any additional informations that I should know?