The question we get about a good neighborhood is very common. It's also very subjective.
If you mean:
Crime: You should talk to the local police department. Worcester has excellent information on the high crime areas.
Values: Some areas of Worcester are more expensive than others. An agent can demonstrate that.
Schools: Worcester has several public and choice options, only some are neighborhood dependent.
So you see, it really depends on what you're expecting. A good buyers agent can help you answer your questions.