Final answer:
Cilia and centrioles are the organelles involved in cell movement and the separation of chromosomes during cell division.
Step-by-step explanation:
The organelles involved with cell movement and the separation of chromosomes during cell division are cilia and centrioles. Cilia are hair-like structures that extend from the surface of the cell and are involved in cell movement. Centrioles are cylindrical structures that play a key role in the formation of the mitotic spindle, which helps in the separation of chromosomes during cell division.