I have been having a look at the Debian Forums and have come across an excellent How to for getting Plymouth installed and working.
In case you are wondering what Plymouth is, here is definition from Wikipedia
Plymouth is a bootsplash for Linux. It supports animations. It makes use of Direct Rendering Manager (DRM) and kernel-based mode-setting (KMS). It gets packed into the initrd
In layman’s terms, when Debian starts up, you will end up looking at graphics instead of text scrolling by.