1. As a NYC resident who grew up hunting, drop me a line and I'd be more than happy to discuss at length your questions.
Now for a quick guide to some of your questions:
Locations- anything above Westchester Co (Bow only) is good for a beginner with a rifle or shotgun. Get a DEP permit to hunt watershed areas. Between that and state land, you'll have 1000s of acres to hunt.
Field dressing/Skinning/Quartering/Taxidermy- Youtube to field dress and skin out. Its NY not the midwest so man up and drag that trophy out! If you have to quarter out a deer then you're physically just old, weak or lazy. Being that you're on public land no ATVs to assist so don't try and get cute with that move either! As far as taxidermy then its all relative to the type of mount you want. I know a few real good ones that I use. The same applies to butchers. Neither are near the city but, are in between the hunting areas and here. Its worth the trip back up after the season, trust me.
And just a few very simple and basic words of advice:
Patience-don't get discouraged. You have to let nature come to you sometimes, not always that person out there seeking. As a beginner its best to sit back and learn through observation. It takes years and experience to master the walk and stalk.
Keep your hunting gear and clothes completely separate from your other stuff. Leave in a garbage bag if you have to and use odorless detergent. Scientifically will only give you a 10-15% advantage but, maybe that's all you need to score.
And the 3 most important words of advice......give thanks for the opportunity to go hunting and harvest wild game. Appreciate that organic, free range, no GMO meal better than anything else you ever ate. Respect the environment and leave it better than when you walk in. Just being out in the woods, smelling the fresh air and away from this rat race is all you need.
Hunting is multi generational sport that builds some of the best bonds between, family and friends. It also becomes super addicting if you don't score in your first year. Buck fever is real!