djdarko: Laptop : Leave it running
Desktop : Shut it down completely
dtgreene: That honestly sounds like the reverse of what I would expect.
With a laptop, you have to worry about the battery, while a desktop will always be plugged in without issues.
The battery in my laptop died several years ago, in the sense that it has about 30 seconds of power once the cord is pulled, so I just leave it plugged in all the time. It tends to run quiet unless something is left running.
As for the desktop, it doesn't run nearly as quiet and it's a hassle cleaning the fans, so I figure to turn it off to prevent additional dust from being sucked into the fans when not in use.
When I get around the putting together a new build the cooling system is going to be a major factor.