Echternach is the oldest town in Luxembourg and one of the most beautiful areas in the country to walk around in. I found a downloadable walking tour here, where you can go on a cultural walk of the town at your own speed. This one in particular covers the entire town and everything in it. Please be aware when planning your visit that in the winter most things are closed and the population is about 1/3 of what it is in the summer. The streets are spotless and you can take a bus straight from Luxembourg City to get here.
My favourite part about Echternach was the Abbey and its Orangerie. Since it was winter the gate was closed to the Orangerie, but even peeking through in the middle of winter, one could imagine what it would be like in the summer time. The Orangerie actually has four statues out front representing each season. They were built by Ferdinand Tietz, a German sculptor. The Orangerie is just across the street from the Abbey so make sure you don’t miss it.