One of your first stops should be Tuttlingen Townhall. Here, you'll be able to orient yourself and get some great ideas before you set out exploring.
This tourist information center in Tuttlingen comes recommended by travelers, so put it on your to-do list. However, your day doesn't end there. There are loads more attractions waiting for you to appreciate after Tuttlingen Townhall. Honberg Castle, Swabian Alb Route, and St. Gallus Church are nearby.