I have found the best way to stop nosy neighbors is to stare into their own back yard.
Congrats on finding a house! Finally a place to call "your own" home!
With my personal experience with fencing here in NY, make sure you check your local zoning laws/town laws etc when it comes to putting a fence up. Short story...here in my town, a new homeowner bought a house with an existing 6ft wooden fence. Old and rotted, he decides to replace all the panels and whatever posts that needs replacing. Half way through his project, the city comes over and reems his *** for not getting a permit, once he got the permit, the inspector comes back after most of the new panels are up and tells him he cant replace all of the panels, only the ones that are damaged. WTF over? In the end, I ended up picking up about 30 fence panels, a pallet of concrete and about 20 4X4'*. He sold the house and moved up north a little out of the city.
So, to avoid headaches, make sure you do all of your homework first.
Good luck with the new home!