Which steps occur in each phase of Meiosis and Mitosis
Mitosis:
1. Yes, the spindle fibers attach to centromeres at the prometaphase

http://www.biology.arizona.edu/cell_bio/tutorials/cell_cycle/cells3.html

Meiosis:
1. The nuclear membrane breaks down in Metaphase 1 and reforms during Telophase. It breaks down again in Prophase 2, reforming after that in Telophase 2 in the daughter cells.


The spindles attach to the centromere is Metaphase 1
Yes the spindles attach to the sister chromatids in Metaphase 2


Check out this animation, it might be pretty useful