How do you remove your polish?

So... just a question for anybody/everybody out there!

I don't swatch a lot. I find that polishes (especially highly pigmented polishes) get everywhere when I attempt to remove them, even when I've taken great pains not to get them on my cuticles in the first place. Because of this I am typically turned off of swatching. For those of you who love to swatch, how do you keep your cuticles so clean and your hands from staining as you move between polishes?

Tips, tricks etc. welcome!