I'm a US Army brat -- that means that my dad was career Army, and as a child and juvenile and young teenager, I was part of the Army family. We moved all over the world to follow my dad in his assignments, and traveling and moving and adapting to new places became second nature to me. I think there is value in becoming comfortable with moving and adapting and learning new places, as long as you are doing it as part of something positive (as opposed to a forced evacuation like away from a disaster or something).
For example, because I was very comfortable with traveling and moving and learning new areas, it was no big deal for me to get flown around after undergrad EE for interviews, and I knew what to look for in the extra days that I stayed (on my own dime) in potential new places where I might move to for a new job (after I was done with the remote interviews, I always stayed an extra day or two to look around and explore the area). And when it came time to relocate, that was no big deal, since I'd been part of moving multiple times as a kid. If it's your first big move to go to a new job, the mechanics and details of it can be distracting at best, and overwhelming at worst.
So I'd say that it probably would be a positive overall experience for you to come here and work for a few years to see how you like the different area and culture, and to see what it is like to work here. Please keep in mind that there is a tremendous range of engineering job experiences here, from very dreary, unpleasant jobs working for jerks (hey, that probably happens anywhere in the world), to incredibly challenging and interesting jobs. One of the keys no matter what, is to do your best and work hard, and make it clear that you are willing to work a little bit extra and learn on the side on your own effort to get the job done really well. That's general purpose advice in the job world, and it applies to EE work as much as other jobs.