I was in Hungary for a few days in 2001 and again in 2002. I was living in a bordering country at the time. One of my colleagues was Polish-Australian and he reckoned that Budapest was the best city in Europe, and he had a point.
It was really good then. Everything cheap, especially food and beer and wine. And the food was REALLY good. Beautiful city. The second time I was there was in late Spring and the pollen count was ridiculous, it was the worst I have experienced and my sheila and I were both suffering. I normally don't even get allergies at all.
So there are probably worse places you could move to. You'll probably need to learn to speak Hungarian but. I think the closest language to Hungarian is Finnish? It's not a Slavic language or a Germanic language or a Romance language as far as I know. Back in 2001 and 2002 German was a more useful language to be able to speak than English (my sheila spoke German) but the younger generation is likely to have learned English as a second language (maybe).