Chongqing is a city in China.
Like all big cities in China, it's a real effort to get out of town. The standard is to take a cheap bus to a small city then continue hitchhiking. Habakuk12321 took a bus to Dazu . The region there is great, the villages small and there is almost no tourism. It's the way to Chengdu.
North/South/West/East towards Yichang
Chongqing is a megalopolis. Its difficult to hitchhike into the city center. There are buses to the center, in this area exist a lightrail to find the way to the main places, the bus and the port.
Places to avoid
Accommodation and Sleep
Try to ask the students at the university camp. They speak English and they are helpful or try CouchSurfing.