Hitchhiking in Turkey is easy. Sometimes it may be customary to contribute a few Lira.
You will never have to worry about lack of food in Turkey. Food will be one of those things you will miss most about Turkey!
All towns in turkey have a OtoGar, a bus terminal. Most of them will offer a warm and fairly safe place to spend the night. But you should be careful and try to place your baggage in a way so you will wake up if anybody tries to take it. Most smaller towns outside the main regions have very cheap hotels, starting at 8 Lira.