If you don't know that Switerland is not in the EU and does not use the euro, you have a lot of research to do. And, by the way, one dollar is worth only 0.63 euros, while a Swiss franc is worth 98 cents.
You can monitor exchange rates at
XE - The World's Favorite Currency and Foreign Exchange Site. These rates are those that banks get for million dollar transactions, and don't include any fees, so you will get a somewhat lower rate for anything you convert.
I'm not sure that wages are lower in Europe. That used to be true. I do know that the minimum wage is way above that in the US in most countres, and government benefits are better.