You'll want to package
your automator application and script(s) into an Installer Package (.pkg)
. The best way to achieve this is to understand some general concepts, the commands to build one, and by checking out some tutorials or other relevant information.
I recommend for creating your first Installer Package using a utility such as Packages (open-source and free), which has excellent documentation, and is less complicated than using the command line tools. Basically it puts a nice gui around the Apple tools which are somewhat nonintutive by themselves.
Building Installer Packages is not the easiest thing to do your first time, and it might take a bit of patience to finally get it right. Once you've successfully created one you should have a good grasp on what is involved in putting them together along with the concept behind it all. At the very least, this information hopefully points you in the right direction regarding your question, and/or gives you a better idea of how to accomplish what you want to do.