I have 2 full sized freezers plus an American style FF like yours. (Family of 5, with teens, who live rurally.)
Drawers really make it easier to store things, so you should try to replicate that in your freezer.
The bins you have already on the open shelves are simply too small. Measure and try to find larger ones that fit better. It's fine if they aren't wide enough, as you can slot boxed items down the side upright, like books on a shelf. Just make sure you keep any vents clear, because blocking them can make the freezer shut down.
My freezer like yours is the only one I have in the kitchen. (The others are in Utility.) I keep frozen veg bags in the bottom drawer and bags of chips in the other drawer. The shelves usually contain more rigid items like packs of meat, bread, and some bins to group smaller items.
I love rubber bands for closing open bags of food. I can fold the bag really compactly arpund what's left in the bag, with the name or picture of the product clearly visible and wrap a band around it to keep it closed. It takes up much less space in the freezer and you can see what the item is easily.
My other tip is to not keep smelly things in that freezer, as you seem to have an ice-maker. So no chopped onion, garlic bread, strongly marinated foods, etc, as they might taint the ice.