Answer:
The cheapest way to get a "dolmus" which is simply an important part of Turkish public transport system. Dolmuses are usually owned privately minibuses and do follow certain routs but do not have dedicated stops. You need to take one at the first stop or the dolmus terminal or just waive your hand they will stop for you. It is almost 20km to Selcuk which the town nearby the ruins of Ephesus. It takes about 30 minutes to Seljuk and cost you TL4. From Seljuk, it is a short walk to most of the attractions.