Both Compiz and Compiz Fusion can be a huge challenge to install. Both Compiz and Compiz Fusion require the standard X.org server using AIGLX. Intel, NVIDIA, ATI cards are all supported. The OpenGL software is required. Beyond having the proper hardware you will need to be running one of the more recent Linux distributions. From within your graphical installation program (such as Synaptic or Yumex) do a search for compiz and install that application. Hopefully the package management system will pick up the following dependencies for GNOME:
compiz-gnome compizconfig-settings-manager compiz-fusion-plugins-extra libcompizconfig-backend-gconf or for KDE: compiz-kde compizconfig-settings-manager compiz-fusion-plugins-extra libcompizconfig-backend-kconfig.
Once you have installed, log out and log back in. If Compiz does not start at log in you might have to enter compiz -- replace at the command line.