First one includes the second one, so if you install the first one (Catalyst software suite) it will install both drivers and CCC.
I believe the laptop versions it's called the AMD Vision Engine. You should download the correct driver. Don't get any desktop drivers. Get the laptop/mobile drivers for your specific graphics card.
Actually, AMD Vision Engine appears only when you have both AMD CPU and Graphics card, and is not exclusive neither to desktops nor laptops. It's just name change, that's it.