First off, awesome pictures of my country!
Based on my personal experience, the 27-200mm range that the 18-135mm will give you will account for more than 90% of your focal length needs, so it is an easy recommendation. It even has quiet DC autofocus, and is WR.
That said, the DA 18-250mm is my personal travel lens, and I love the pictures it gives me, despite its slower and noisier autofocus. I've even bought a spare from KEH.
Conclusion: You can't go wrong with either.
Happy shooting and welcome to Denmark!