The tri-city is bigger than first-timers expect, and moving between Warangal, Hanamkonda and Kazipet has its own rhythm.

The tri-city is bigger than first-time visitors expect, and moving between Warangal, Hanamkonda and Kazipet has its own rhythm that takes a day or two to read. The three centres sit several kilometres apart, so the casual assumption that everything is walkable falls apart quickly.
Autos and city buses cover the short hops, while trains and TSRTC services handle the longer runs and the connections out of the city. Knowing the fare norms, especially for autos, saves both money and the standard tourist argument at the end of a ride.
Shared and metered autos are the workhorses for short distances, the TSRTC city buses link the three centres affordably, and the trains via the Warangal and Kazipet stations connect you to Hyderabad and beyond. App cabs operate in the central areas, though availability thins on the edges.
Agree the auto fare before you board, every time, because the meter is often a suggestion and the upfront number avoids the end-of-ride standoff. Keep small change ready for buses and shared autos, which speeds boarding and keeps the conductor happy. Use shared autos on the busy fixed routes, where they are cheap and frequent. Once the geography of the three centres clicks, getting around Warangal is genuinely easy, and far cheaper than a metro habit would suggest.