Difficult. Not impossible.
Goto the American Embassy web sites to check out the immigration process. The "easy" way is by VISA but they are only valid for a couple of years or so (different types). If you have a specialized skill, that can be the basis for a VISA appplication which, with a good sponsor (e.g. employer) can help it get fast-tracked (note: fast tracked is not fast).
A green card is what you would ultimately need, as it allows you to live and work in the U.S. indefinitely. It too is a lengthy process, even when you're fast-tracked again.
East or West coast? East makes you just 5-6h from Europe, so you can phone home more easily but also contact Europeans at work when you too are at work. On West coast, they go home when you start - makes it tougher for international business. West coast is typically dryer than east, and lower humidity, also more popular, perhaps; more expensive, probably. The Southern states are more affordable, warmer (hot 'n humid in the Summer).
You have a long haul ahead of you. Good luck!