As Mr. Weitzman mentioned below, realtors are prohibited from making opinions on specific neighborhoods. My best suggestion is to speak with police officers in the area and ask them. They will be happy to advise you on any particular area you may be interested in.
When it comes to any safety/crime related issues, it's always best to contact the local police department with all your questions, hear all there is to hear firsthand. If unfamiliar with the area(s) do revisit more than once and at different times of day, possibly chat with locals/neighbors. Real estate professionals are prohibited from steering, enticing a buyer to purchase/rent, or not, in specific neighborhoods.
However, we can advise you to contact the local precinct of a neighborhood you are considering and request crime stats that way.
You may want subscribe to a webpage called http://spotcrime.com/
This site will give you up to date info on any criminal incidents *that were reported* within a certain radius of an address, and maybe even look back for a certain period of time, and make your decision accordingly.
For school info, you should visit nyc.gov, go the drop down departmental menu on the left side of the page and go to Education. From there, follow the links to get the pertinent info you need.
Prudential Douglas Elliman
Or, you can find a good buyer's agent who can provide all the information for you.