A painfully slow train ride can get you from Yerevan to Shorzha. Other public transportation exists, though it is not very frequent to this sparsely inhabited area. Taxis from Yerevan or the town of Sevan can bring you as well. Renting a car with or without a driver are also worth considering, especially if you want to head over to Chambarak and continue along the beautiful road to Berd from there.
