The post documents the steps I followed in order to install the NVidia drivers using kmod-nvidia and ELPrepo on a fresh CentOS installation.
We begin by importing the ELRepo Project's public key
sudo rpm --import http://elrepo.org/RPM-GPG-KEY-elrepo.org
The people at ELRepo suggest that this should also be present, so unless you already have it ...
sudo yum install yum-fastestmirror
The next step is to install the ELRepo repo itself
sudo rpm -Uvh http://elrepo.org/elrepo-release-6-5.el6.elrepo.noarch.rpm
... and finally the NVidia drivers, which is what we aimed for in the first place.
sudo yum install kmod-nvidia
An optional step would be to install the 32bit compatibility drivers and files
sudo yum install nvidia-x11-drv-32bit
What else is there... ahh yes, reboot!