Insurance Recommendations for someone who is moving to the USA

Hi Everyone :)

First time poster here, hopefully i put this in the right category.

Im wondering if any one has any recommendations for insurance, especially from someone who has immigrated/moved to the USA before - as I'll be moving to the USA from NZ in about 18 months.
I plan to pay for my own insurance, as most of my work is contractual (Audio Engineer/Videographer). I just dont want to sign up to a plan and get the run around.
I understand that most of them have a stand down period of 6 months(which is fine, Ill just use travel insurance that ill buy in New Zealand).

Any suggestions would be greatly appreciated.