How do i update my graphics driver . read note

I hope this is answered soon, as I get the same thing when I try to start up UE4. In specific mine’s this:
The installed version of the AMD graphics driver has known issues.
Please update to the latest driver version.

AMD Radeon HD 7640G
Installed 13.152.1.1000
Recommended 16.16.2711.0

Given that I’m on an older ASUS laptop, also running Windows 8 64-bit, I’m a little scared of changing the graphics driver. I don’t want to be out a computer if I mess it up - I can’t afford a new one.