How can I install apt-get on a 32-bit Linux System if I don't have an existing package manager, like yum? What do I need to get?
apt-get is a package manager utility for debian derived distros such as ubuntu.
yum is the equivalent on fedora derived distros.
Using both of them on the same system is probably very problematic, and almost certainly pointless.
How did you install the system in the first place? Unless this is a very very very unusual system, chances are it already has a package manager, just you do not know what it is.