What Structure Is Involved In Moving Chromosomes During Mitosis?

During prophase, the centrosomes that have traveled to opposite ends start to emanate spindles (microtubules). Each microtubule eventually attaches itself to the centromere of a chromosome. The chromosomes line up at the equator of the cell at metaphase. At anaphase, sister chromosomes become distinct as two bundles. The spindles start to shorten and so the two bundles of chromosomes that have formed start to move to opposite ends (towards the centrosomes).
So, the structures that can be said to be responsible for moving chromosomes may include the microtubule spindles and the centrosomes and even the centromere.