I put my hood on then my mask. I use my fingers to pull the hood away from my face to get the skirt underneath, then I check the seal (I blow out my nose - if I get a farty sound it's probably sealed properly) I can do it with or without gloves. I have a buddy who keeps one glove off (wet gloves of course) so she can feel all the way around and pick the hood away from her face easier.
Whatever works for you, it's not one of those life-and-death things.
Whatever works for you, it's not one of those life-and-death things.