Replacing 2 prong with 3 prong outlet
As of 2014 the NEC requires tamper resistant outlets. You are correct about how to install a GFCI at the head of a circuit and replace the old receptacles with new three pronged receptacles, But the NEC requires that the receptacles be labeled as “No Equipment Ground” . When you purchase the GFCI's those labels should be in the box with the GFCI's.