You know, that is good to hear. My wife has been to NYC, and has plans to show it to me sometime in the next couple of years. You have made is sound a lot better to me...
If you are going to come to NYC, you are likely to want to see touristy things and places, whihc are all usuaully in our safer areas. So you are unlikely to get into areas that are not safe. Almost all of these are in areas that are very safe. It's the safest big city in the world, and it's got it's bad areas. So, it's safer areas are usually very safe.
I worked with a lot of guys from small towns when I was on tugs. As a rule, I was happier with them heading to Manhattan when given the chance that any place else. They got in more trouble and fights when let loose in smaller communities.
If and when you do come, just ask for advice. I'll be happy to give it.