2. where did americans originally live? 3. where did they move ( direction and city or rural) and why did they move?

Well though the question is very vague there is two ways you can go at this the first NATIVE Americans came from asia somewhere near Siberia. if youre talking about settlers then it would have to be the Europeans.
The native Americans were more of a nomad group they went where their food went.
The settlers on the other hand they went from city TO rural (they were in a new frontier just recently discovered ) 
there's more then one reason they moved to the Americas but the main reasons was to broadening there hold on territory and increase their wealth  

Democracy and darwinism would be my answer.