/u/jhd3nm made an excellent post similar to this subject but dealing with the late 19th century

I'm afraid I'm not at all familiar with the subject and the link I supplied is not accurate to your time period. But I'm very curious to know how the costs and difficulties changed over time.

taken from jhd3nms post

So, cost. Steamship tickets were the major expense, and were the equivalent of about one-two thousand dollars in today's money. The workers who came to America (and ended up becoming emigrants) financed their travels with loans from labor agents, relatives, other returnees. Steamship companies actually sent recruiters/agents into villages all over Europe to pack their ships with passengers, and it was quite competitive, so the costs wouldn't have varied that much.

I am having a hard time wrapping my head around an Irish peasant in the middle of the potato famine or a German in the middle of unification saving the modern equivalent of a $1000 or $2000 to buy tickets for their family to pack up and start over in the new world. My thinking is that would be a luxury item in the midst of trying to feed their family or keep them safe.