Bob - good answers!!! Except- her husband is Dominican, he is or can be a citizen immediately. Lisa, as the spouse of a Dominican you need residencia that immediately allows you to apply for citizenship.
The gov't just announced new programs for mortgages for Dominican people but the details are sketchy and linked to income.
Come down, get settled and after a year or two think about buying a place.
I believe your husband has the right to bring a container full of household items here! I will try to confirm this today for you and I can recommend a shipper as well. Let me find the details.