Rolling.
I use panniers to haul in everything on Mondays.
My left side is my "landing gear" side, so when loads are of unequal weight, that's the heavier side. Typically, one or two library books, four apples, four oranges, four bananas, four trail mix bars, four granola bars, four containers of leftovers for lunch.
On the right, one or two library books, rolled black jeans, three rolled button-down oxford shirts, one rolled library-themed t-shirt (for t-shirt Thursday). This week's t-shirt:
The panniers stay at work during the week, then on Thursdays I haul home library books (Imagine that!) and the laundry.
In the three seasons, this lets me ride any bike I want on Tuesdays and Wednesdays. I think today the Peloton, and tomorrow the Litespeed Classic.
BTW, the trick to rolling the shirts is to do so loosely. You're not making fireplace logs out of newspapers. With the collars buttoned and one or two buttons done on the front, gently fold in half along the buttons and the rear pleat. Gently fold the arms in. Gently roll from bottom to top. Jeans are rolled from bottom to top as well.