I have a mousepad that came with my desk and covers the entirety of it, so everything on my desk sits on the pad. But I also use a mousepad on top specifically for my mouse, it's a CyberPowerPC mousepad that came with my computer
Got a desk mat. Some random brand that Mass Drop was selling when I grabbed my last headphones. There is zero branding on them, but they are large and thicker than most.
Our desk top has the mouse with the trackball so we don't need one either.
I don't need a mouse for my laptop because it has a spot built in it (bottom center, below where the keyboard space is) that I use to move the cursor around. When I need to click on something, you can just tap on the little square and it'll click on that for you.