Assuming you are in Santo Domingo, go visit the US Citizens Service Department at the US Consulate in Santo Domingo, where they will offer you free advice on your options. If you plan to move to the US, your son should qualify for US citizenship or at least residency.
See
http://www.usemb.gov.do/Consular/ACS/childact2.htm
If your case is more complicated than usual, then consult a migration lawyer.