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 states 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 Diuglas Elliman