I am working on getting LVM on my notebook. The easiest way may be to use the whole disk except for a small /boot partition which needs to be outside the LVM but with an initrd...
If you want to learn RedHat try out Fedora - fare more alike.
SuSE I can't tell, but if you assume it is like OpenSuSE (which I think it is) try openSuSE.
I can't see any reason to use SlackWare to...