CNW,
I've lived within sight of NYC all my life and I'll be 50 in just a few months, and for the last 22 years within NYC. Like any big city it can have its problems & issues. Wanna get mugged? I can certainly recommend a few places to go. :lol: But seriously, there is also considerable charm about NYC. There really is no other place like it in the US. And I've been in many of the major cities within the US so I've seen a good sampling. Stick to the major areas and you'll be fine.
If you are into tourist stuff, personally I would recommend visiting Top of the Rock over the Empire State Building. My reasoning is that TOTR costs less and perhaps most important, you select what time you want to visit, show up and go through security, and up you go. You won't be quite as high up as the Empire State, but unless you like long lines or paying a premium to avoid some of the lines, TOTR IMHO is the better choice.
The poor man's tour of the Statue of Liberty is the Staten Island Ferry. You can't actually get to the base of the Statue by the ferry, but you do get some very nice views of the statue and you can't beat the price; it's free! If you want to spend a few bucks, then by all means ride the boats that do take you out to the Statue. If you want to go up in the crown, you must make reservations in advance. That can be done online.
A walk in Central Park is always nice too, and there are plenty of movies and Broadway shows to take in too if that fits into the budget. My fave is Phantom of the Opera.
If you want some rail riding ideas just let me know or if you have any specific questions send them along too.