If museums are on your list, you might want to check out the upcoming exhibitions at Rhineland Museum in Mitte. If you want to see more of the museums in Trier, you can easily walk to Karl Marx House or In The Realm Of Shadows.
You can find out about the history of Trier with a trip to Kurfürstliches Palais. Stroll along the waterfront or visit the monuments while you're in the area.