Depends on the fabrics - some of them come out of the dryer relatively smooth and then I just "hand press" them when I fold them and add them to the stash.
I'll have to iron it again before cutting, so I see no need to press at that stage.
I will iron it before stowing it if it's really rumpled just to make it take up less space.
I use a very light steam when I iron the fabric before cutting.
I very rarely use starch or sizing. When I try using that, the fabric seems to stretch - I'm not sure if I'm overly zealous with my ironing/pressing or what -