Segway tours are a unique way for out-of-town visitors to explore downtown Austin. Two companies offer tours here: SegCity and Gliding Revolution. I can recommend Gliding Revolution from personal experience; I have heard good reviews of SegCity too.
On my most recent tour, I was very happy to discover that riding a segway is like riding a bike: once you learn, you never forget. Our tour started at the downtown Holiday Inn near I-35. We had two guides: one leading in the front and one at the end to make sure that everyone safely negotiated street crossings. We traveled near Lady Bird Lake, through the Second Street district (our ‘hood!), up around the State Capitol Grounds, and along Sixth Street. We stopped at the Center for Mexican-American Cultural Arts, Texas State Capitol, and Driskill Hotel, finally arriving back at the Holiday Inn over three hours later.