
There are great horseback riding tours of the surrounding landscape, which looks a lot like the American southwest of western movies. The tour agencies have a syndicate: 30 Bs per hour. Ask for leather leggings.
The beautiful surrounding of Tupiza is full of quebradas, cañones and valles. It's excellent for exploring by foot, but it's also possible to go on horseback, mountainbike or by jeep. Most tour agents have simple maps if you want to set out on your own.
Tupiza has connections to Villazón on the Argentinian border and north to Uyuni and Oruro. Ask at the train station for the latest departure times.
Bus schedules tend to change regular. There are daily busses to Villazón. Busses direct to La Paz leave daily in the afternoon, stopping at Potosí and Oruro on the way.
On weekends there could be some local fiesta, -ask around.