Quick Store Remade!
I needed a mod exactly like this one: https://www.curseforge.com/minecraft/mc-mods/quick-store. However, it was abandoned.
So I made one in like, two hours or so? Around about that.
This is it! Nice and simple, stores any items that aren't in your hotbar, offhand, or armor slots into nearby containers (chests, furnaces, etc) with those items. Will prioritise chests (vanilla at least, and probably most modded) over things like furnaces and stuff.
If you already have a container open, if you press the keybind, then it will only quickstore to that specific inventory.