If you like the area and the job, I would absolutely consider moving. I moved frequently growing up for my dad's job. I ended up in 3 highschools. But it was ok and I thrived. So I believe that your kids will be fine and learn new skills in adaptability in the process. There will be challenges everywhere whether it's with the school system, weather, COL etc. but if the area and job seem to be great and your family feels it would increase your quality of life, I would go for it!
Mom to Two Wild and Crazy Boys and One Sweet Baby Girl