Cross-X, When I make my draw, my right hands removes the pistol from the holster, as my right hand comes up to about chest level where it meets my left hand, just before the transfer my right thumb removes the safety. The pistol then moves into the left hand and I start looking for the front sight as the weapon is pushed forward. I'll make my first shot as soon as I see the sight and I have a secure grip in place.
Because of the way we competition shooters ride the safety with our thumb, everything is the same during the draw except for the transfer to the weak hand.