Just bags, and using storage options at your house. Frnakly, now that it is super easy to come and go from your house {back in my day we used to have to walk up hill in the snow both ways...} using house storage is a great way to manage the items you don't need to carry constantly.
with nigh-infinite space in your house, and zero energy cost to get there, why would you need more than 256 stacks of things in your inventory at the same time?
That's assuming, of course, that you have a bigger bag in each of your 16 inventory slots.