I am German and my wife is Canadian. If you want to move to Germany or Austria, you better speak very good German beforehand, if you want to stand any chance of finding a job. And that (an official one) only once you have gone through the whole immigration thing. And all over Europe borders are getting tighter and tighter for immigration, wherever you are from.
Unless you are self-employed (which you need a lot of money for), you need to find a job, then go to the employment exchange and they will check the labour market. If they find one German/Austrian, who could do your job, you won't get the work permit. And unless you find work or marry someone, you are only allowed to stay for three months, then you need to go through all the immigration. And even if you marry a German, you will still need to apply for a work permit as described above. As for citizenship, at first you get a temporary visa for three years, then another one for five years. After that you could apply for citizenship, not before.
And living one or two months with 1000$? As somebody else had said, give me that guy's number, he must have some magic formula! Depending on where you are, that can be just the rent for a month, plus utilities and you have not "lived" at all yet, meaning groceries incorporated...
Last year we moved to Canada, because I lost my job and could not find a new job (and I am from the IT branch), for my wife it was almost impossible, because she did not speak fluent German. Here (in Canada) the job situation is a LOT better, the cost for living is a LOT lower as well. For cost of living, it is always so hilarious to see Americans complain about the gas prices being too high. One gallon of gas costs roundabout 6 US$ in Germany, just as an example...
So if I was you, I would think twice about moving to Europe and do a LOT of research before doing so. Make a trip there and see for yourself before moving. If you have any questions about living in Germany, for example, let me know, I have 30 years of experience there...