You can use tramway, bus or taxi.

I recommend you to take tramway (you need to get Estram card in any shop), but you can also use bus (also with card), but busses usually are not punctual and not always stops in the station. Be brave to stop the buswhen it is coming.

Taxi is not so much expensive, but you must show the way (with google maps) to the drivers, otherwise he can drive you a longer way and take more money (taxi accepts only cash). Usually drivers do not speak English, but they are ready to hep you, just try to say them the exact place name.

Busses or trains between cities are very comfortable, just try to buy ticket earlier, because before 3 weeks it is almost impossible to find any tickets for fast train.

Many places you can reach by walking in Eskisehir.

With student's card there is a discount, do not forget to take it.