I use a Ruger 77 bolt action (LH) with old Redfield 3x9 in 270. I use it in CT on private property - shots are close and deer go down quick.
Scope stays on 3X all the time.
Try some friend's rifles out and see what you like. Reality is anything will work around here since shots aren't really far. I am sure there are some place in NY where you can shoot well over 200+ yds at game.
Scopes - buy the best you can afford. I like Leupold VX-III, but I use some VX-II and a bunch of Weaver variables as well. Waterproof & fogproof is a must. More $$ scopes have coated optics and larger front objectives. 3x9 scope are pretty std on most centerfire for all around use. Cheaper brands like Bushnell and Simmons work fine. Whatever you get make sure the rings & bases are STEEL. Weaver system works fine (alumimum base and half steel ring & bolt). Those cheap aluminum rings can get banged out of position too easily. Those shoot thru aluminum rings that bolt right to rifle stay clear away from IMHO = buddy of mine banged his scope walking to stand and when he shot at a deer that way 150 yds away he missed it twice.

Later checked the zero and found he was two feet OFF to one side. Got him into some Redfield base & rings and he hasn't had any issues since. Leupold makes great set as well as Burris and there are others, too. Same guy fell out of tree ... he hurt himself and checked zero of rifle later and found it was just like it was before.
Savage rifles shoot accurate out of box and are low $. I don't like the triggers, but they are good shooters. Rem 700 is always good as are many of the other big brands like Winchester, Browning, etc.... use good ammo and any rifle will shoot well. Cheap ammo is an $$ rifle is a waste/joke.... don't skimp on ammo if you are going to be shooting over 250 yds = Federal Premium is good stuff w/ Nosler Partitions.
Hunter Safety Courses - generally free at many local clubs. Most states require you take one. No harm in being refreshed on gun safety.
