If you're not into x-country skiing or any other more or less challenging activities you can just walk or hike. The local authorities use to groom plenty of trails for hikers. Just make sure you don't walk on x-country trails - they (especially skating trails) look inviting ... but you will definitely get annyed looks from the x-country skiers.
Again, the best area is between Altenberg, Zinnwald and Rehefeld. However, Schellerhau, Oberbärenburg/Waldidylle also offer hiking trails with little elevation difference.
Buses or the train take you back to the starting point if you're too tired. Warm clothes and boots. A map. I prefer to take a backpack with a thermos bottle filled with hot tea.