For a pc, I wouldn't really get a laptop if you have the option to get a desktop. I use a laptop because I use it for college work etc, and bring it from there back home again and such.
A desktop built solely for recording will not be too expensive, and surely much cheaper than a laptop.
It seems like you are using some pretty good gear (well far exceeds mine anyways) so another important thing to think about is the room that you will be recording in. Are you planning on setting up a studio or is this something just for you?
When looking for mics try to learn about the different patterns (cardioid, supercardioid, etc) as well as looking at frequency charts for them. People input is great as well!
As far as hooking things up, I'd imagine that would be the easy part, but probably not! You have a power supply for your board, and mic inputs. As far as connecting to your computer, I'm not so sure besides the optional firewire card that goes into the mixer. This can plug into a firewire port on your computer. I'm sure others can help more.
So if you don't feel like reading...
A good room
Cruise the forums
Look at frequency charts
Learn about different mic pickup patterns
Hooking things up?
Power supply (obvi)
Line ins if you want to directly plug in
To computer - not sure other than firewire card
Well this will probably at least give you something to screw around with until some people that actually know what they're doing come along.
This website taught me a lot about the mics!