Thinking of migrating to Czech republic

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I don't really need advice but would like to hear anonymous opinions.
I come from a middle/upper middle class family, know three different languages, have a normal social life, live and study (second year of bachelor) in Serbia, which is currently a pretty undeveloped country considering it's in Europe (high corruption rates, high unemployment rates, inefficient state... you get the picture, and it's probably just gonna stay like that for some time). On two separate occasions I went to Prague and Plzen, met some locals, had interesting conversations, seen a bit of the countryside etc, and later read about their history, the current situation in the country and I can say I'm very pleased with how things are going there.

I think my ambitions would mostly be blocked here in Serbia, where I don't have enough money to start my own businesses (I plan to open my own production of products that rhyme with... "deer" and "salt"..., but earning enough money to open something here would take years and years of slave labour) and that waiting to finish my studies here is also not good carrier-wise (almost no practical experience unless you find something yourself, the books we learn from are outdated etc).

The questions here would be - why and how? Why as in the moral dilemma, should I just go away from my family and friends although I *have* a chance to succeed here (a small one, but still), turn my back from my homeland (I'm not patriotic at all but it's still a dilemma). How - do you I apply to the Erasmus program and maybe finish college there? Do I first find a job and later continue my studies? I could probably get a Hungarian citizenship/passport (that is - European) in 6-8 to months here in Serbia, because they have some special law that allows it