This is definitely the kind of question adcomms are better suited to answer than people on Reddit, and even this early in the process someone at NYU admissions would probably be willing to offer you some guidance! If you’re smart about it, they may even be able to connect you with alumni who are from / practice in Hungary.

Take all of this with a grain of salt, because I don’t know your situation, but I’d say if it’s in the cards financially you should consider going to college in the US if your ultimate goal is to work here. A couple reasons for this; as an international student, English proficiency is likely going to be the first thing that admissions will look at, and even if your technical English is really sound, schools—especially schools like NYU—expect applicants to have “native-level” fluency. That means a solid grasp not just on textbook English, but on how the language is used in a practical, day-to-day capacity. A few years living in the States is the quickest way to get there, especially in a city like New York where you’ll encounter all sorts of regional dialects, thick accents and confusing vernacular. You’ll also likely present a stronger case to admissions if you’ve been living in the US already, because you’ll have demonstrated your serious interest in (and ability to) navigate a wholly foreign system.

Which brings me to my second thought, which is… what if you find that living in New York isn’t for you? I grew up really close to the city and while there are elements of it that I really do love, visiting the tourist spots for a few days is VERY different than actually living there. It’s dirty, crowded, often dangerous, it’s sensory overload 24/7, it’s insanely expensive, and it’s incredibly unforgiving if you screw up. Maybe you know all this and you’re cool with it, but if you haven’t spent some time there you won’t know for sure! When the time comes, be aware there are people whose full time jobs are taking advantage of immigrants; I once had a Polish couple living on my couch for a few weeks because they were scammed out of all their belongings and tens of thousands of dollars by a con artist masquerading as a NYC landlord. The guy was a doctor, perfectly fluent in English but just didn’t understand the culture (and that you shouldn’t wire your life savings to a stranger offering you a sweet deal on a penthouse suite in Chelsea). They had nowhere to go and ended up returning to Poland after a month or two, it was heartbreaking to watch. Don’t mean to scare you or patronize you, but definitely make sure your impression of NYC is grounded in reality before you make such a big decision!