Walking or by rickshaw, as usual in Sri Lanka. One can also take the train to visit smaller places around Haputale the also tiny places Ella, Bandarawella or Badulla, for example. It's also quite common to take the train to one of the neighboring villages and simply walk back that same way on the rail tracks. It's totally normal in Sri Lanka to walk on rail tracks. Trains are slow and using their horn more than permanently. Those rail track walks offer one of the best views Sri Lanka has to offer.