rpm -Uvh apt* will upgrade apt*. If this is a fresh install you need rpm -ivh apt*.
Installing apt will allow you to go to a console, switch to root (using su), type in apt-get install <whatever> and it will then download and install the package. If there are other files it needs to install your program, it will download and install them too. This saves the bother and hassle of you going off to find them yourself. I'd suggest you go to http://apt4rpm.sourceforge.net/
and read up on the program.
When I installed my first act was to type in apt-get install synaptic - you get a nice gui and there's no real typing to do.