It isn't as simple as that. There are both immigration and taxation implications, from both countries involved. You need to seek competent legal advice about what you are planning so you understand all of your lawful options [and what isn't lawful] and their consequences.
Also, I agree with what others have said, visiting the US and living in the US are two entirely different worlds. I immigrated to the US as the spouse of a US citizen over 20 years ago. Green card, naturalized, etc. I now live in Canada again. Moving to the US was a significant change, culture shock, etc. It took years to really get used to living there -- though I'm not sure even then I fully had, some things just never "made sense" even if you adapted to them because "they were" and you had to. Moving back to Canada had its own set of adaptations because I'd gotten used to how things worked in the US. And there are things I miss about living in the US that I wish we had here [more variety in stores, 24 hour grocery stores, stores open till midnight, Target...]. At the end of the day, while we share many commonalities between our countries, we are also culturally distinct and there are some drastic differences in how some aspects of life work, some of which have significant impacts on your life, daily or otherwise. Some of the differences one might notice when visiting the other country, but so many of them you do not see/experience until you are living there permanently or for a very extended period [i.e. no longer in the "vacation"/"temporary" mindset/experience]. Being engaged and them married to an American I had glimpses of some of it, but there was so much more I was unprepared for and had no idea about.
SW