I have tried all this on an Asus eepc900, you may get different results with a different model. That is why this is in the advanced users section.
Firstly I am assuming that you are going to install PCLinuxOS root partition on the 4Gb card, and the /home partition on the 16Gb card. That makes a lot of sense to me. Don't bother with a swap partition. It really isn't worth it on this type of machine. It's not the quickest, and it's not advisable to have swap on a solid state drive. In practice it doesn't make much difference.
You need to install PCLinuxOS in the normal way, from an external USB optical drive, or a USB stick. With the external USB DVD drive, you need to use the sata-enabled line on the Grub screen.
Next, you need to setup your internet, I found that wireless with the 900 worked, but when I first pressed the connect button it took a while, giving a "failed to connect" error, but before I had finished uttering my first expletive, it had changed its mind and the wireless was connected.
Anyway, get your locale, clock, etc., set up. And install. You don't need any ATi/nVidia drivers.
Once you have it installed, you need to download two files onto your desktop. They are:wlan.sheeepc-acpi
Once you have them on your desktop, you need to open a terminal, and do the following commends:
(enter root password)
rpm -ivh --nodeps --force eeepc-acpi-1-21eeepclos.i586.rpm
rpm -e --justdb eeepc-acpi-1-21eeepclos
Next thing you need to do, is to open PC > System > File Tools > File Manager Super User Mode
Once you have input the Root password navigate to the folder /lib/modules and delete the folder "18.104.22.168.tex2"
Then navigate to the folder /etc/acpi and overwrite the file wlan.sh with the one you have on your desktop. Right click on it, select properties, and ensure that it is executable.
Using synaptic, you need to install the following:
Once you have done this, and rebooted, you should find that your "suspend" key, "wireless on/off" keys, etc., work. Not only that, you will get a graphic on the screen to confirm.
I am about to test the the other stuff all works.