I am moving from one part of the country to another which is in a different time zone, so they may have began Ramadan on a different day. I began Ramadan in one part of the country and will move for my new job before Eid. With that said, do I commemorate Eid based on the place I will be moving? If doing so, my ramadan may be more than 30 days or less than 29 days. Is this possible?

Yes, Eid based on the place you are in at eid time