Hello! I'm 1/4 Danish--both of my grandfather's parents were born and raised in Denmark--so I really welcome you to the forum!
I'm not sure I'd counsel you to move to the U.S. just for the schools (in the generic sense). There are some really good schools for gifted kids here. But gifted education in general isn't in great shape in the U.S.
There are both free public and costly private schools for gifted (or GT) kids, depending upon where you go. Some public schools that aren't specifically for GT kids do a great job, and some are horrible for GT kids. It just depends on the school, the teachers, and the community.
Rather than talking in generalizations, I'd recommend that you find a specific school here that would work for your child if you're really going to move here. I mean, the state of GT education in the U.S. in general doesn't really matter to you; how one particular school will work for your child does matter! Very much!
