I used Wiltz as a departing point to get to Bastogne. I arrived with a huge delay of two hours (darn Belgian railways!), sorry for keeping you two waiting that long. Once I arrived, both of them were ready to help finding out buses’ frequency to Bastogne. They also had a dog. Indie dog was not allowed to get in the house and had to stay in the garden the whole time (that explains his frowning look and howling in the night ;-)
Wiltz lies between the slopes of the surrounding hills and a valley where the river streams. On the two days of my stay the weather was clear so the view you had from descending from the castle (where the Tourist Information Center is located) on the Southern slope as well as climbing up the Northern slope to the Notre Dame de Fatima Sanctuary was amazing.
Aside from the awesome scenery of the Ardennes, the surrounding WW2 battlefields are worth a visit. Near Wiltz, in the wood around Schumann’s Eck you still get to see foxholes. Otherwise, the more advertised Easy Company’s foxholes in the Jacques’ Wood, just outside Bastogne, are only 25 km far. Be prepared to walk a lot cause buses to Bastogne run once per hour and Jacques’ Wood is not served by public transport.
Today's Wiltz seems to be way too modern, had it preserved its historical buildings that went instead destroyed during the war, it would have been more interesting.