Congrats!
From my experience, one effective thing to do is to drywall in one direction, and then drywall again in the other. Modern drywall has a weak direction and a strong direction. I use panel adhesive between layers. Twice as thick, if glued together is 4X as stiff. Stiffness helps filter out low and mid range frequencies. Vapour barrier on both sides of the joists will help fulfill some of
@Eddyde great advice. Everything he said.
Pay attention to the wall/floor joint. That is a place sound can get through easily.