If you want to go to the library, take the bus 14, get off at Sixian Road in Hsinchu, and cross the sunny path at 100 to get to the library (it's very depressing to walk all the way from the library to Gucheng Road).
Room 300-400 depends on your requirements, whether it is a room, a living room or a single room. There must be a room for rent at 300-400.