If your trip to Downtown Austin is all booked but your travel itinerary is looking a little empty, we can give you a few hints and tips.Interesting things to look at around the neighborhood? Governor's Mansion and Texas State Capitol are right up there. Make your way over and discover what they're all about.Leave that rental car at the hotel and use those legs. Not far from the center of this neighborhood, Sixth Street is worth a visit. More adventure is waiting for you at Moody Theater and Paramount Theater, which are also close at hand.