Monschau is a short drive into Germany from Valkenburg, just past Aachen. The drive would have been fairly quick, but we were high up and the weather conditions were terrible. It was raining and there was thick fog, so we took it slowly through some little towns that we couldn't really see. When we descended down into the main car park for Monschau, we dropped below the fog and it stopped raining.
The first stop was the glass factory, where there were some wonderful pieces of glasswork. Next, we walked down by the river, which was full of kayakers, to the town. Monschau is a very pretty town, with Tudor-style buildings and narrow cobblestone streets. The river flows through the middle, and there are numerous little bridges across it. We stopped at a shop to sample mustards and bought redcurrant mustard that was very tasty. Back towards the car park, we stopped at a café for apple strudel and coffee, which was very nice, although we had to wait a while for a table.
Monschau makes a nice day trip and only really needs a half-day to wander around. If you want to avoid the coach trips, you should probably get here early in the morning or late afternoon.