The trick is not speed. It is removing every decision that can be argued with before the child is awake.
Lay it out the night before
Two options, both acceptable to you, placed on the chair. The choice is real, which is the point, but neither answer costs you anything.
Buy for the fastening, not the photograph
Envelope necks, side ties and front openings are the difference between forty seconds and four minutes. Anything that has to go over a head at speed will be resisted at speed.
Let the shoes be the last thing
Shoes signal leaving, and leaving is the part being negotiated. Everything else goes on first, calmly, and then the shoes appear by the door.