Realtors cannot answer questions about things of that nature, but we can direct you to where you can get the answers for yourself.
I would first call the Police Department of that city and talk to someone who can specifically answer questions like that. I would also go the neighborhood and talk to neighbors or local merchants. In addition to that I would do some research online at sites like the ones pasted below;
I hope this helps and Good Luck!
Just to clarify your questions, are you moving to Norfolk, CT?
Here is a crime mapping site for Norfolk: http://spotcrime.com/ct/norfolk
If you are moving from Norfolk to Lansing, here is the site we use in our area: