The only thing to bear in mind is obviously America's welfare system isn't as generous or far reaching as those of Europe. You'll need some medical insurance and stuff for sure, whilst in the UK for example it's virtually unheard off.
My own biased opinion but University in the UK is pretty good. In England you have to pay but you get a loan from the government. It's not even a proper loan and you only start paying it when you earn over £26k a year, and even then it's like £5 a week taken out of your payslip.
Cost of living is something to note as well. Living in major cities is gonna be more expensive then outside. 5 miles could mean the difference between say £400 rent a month and £800 rent.
UK universities are quite popular with non Europeans, many Asian students come over here as well as those from the continent. It's also easy to travel around. If you studied in London, you can literally wake up at 8am and still get lunch in Paris and be back in London by the evening.
Happy to answer any questions, America isn't as bad as TV makes it out to be, same with UK, Germany, Sweden etc. Everywhere has crime, some parts are worse than others, but on the most part it's pretty low.