US self-storage chain ExtraSpace created an interesting infographic on how to imagine your furniture items as Tetris pieces so you can stack them in the most efficient way possible.
I've used this strategy in the past and while you can't always go by just the shape of the furniture since the weight or balance may dictate otherwise, you can usually follow the general principle. lf you're worried about scratches, you'll need lots of blankets to put between layers of furniture. Also if you create a tall stack of furniture you may want to consider using a bungee cord to secure it to the wall of your storage truck or unit.
Here's the full infographic (click to expand or right-click to save):