good luck to your kids - never to early to start thinking about college - but I encourage you & them to be open minded.
– go way beyond NYU -of course.
Some info re NYU is here:
http://www.collegedata.com/cs/data/college/college_pg01_tmpl.jhtml?schoolId=436
and see:
https://colleges.niche.com/new-york-university/admissions/
http://www.princetonreview.com/schools/1022976/college/new-york-university
NYU engineering is relatively new in that NYU took over NYU Poly in Brooklyn:
http://engineering.nyu.edu/in-media/2015/08/04/50-best-computer-science-engineering-schools-america
I am sure there are lots of resources out there. Consider getting a few books:
Fiske Guide: https://www.amazon.com/Fiske-Guide-Colleges-2016-Edward/dp/1402260660
http://www.princetonreview.com/college-rankings/best-colleges
Good luck & enjoy the journey.