Using custom CCK types within another CCK type

I'm torn between creating a module to allow people to add resumes to a site and using CCK.

I'm wondering if it's possible to create content types and then use those contents within other CCK content types. For example, if I was creating a resume, I'd want to have Resume as the overarching content type. I'd then want to create additional content types, Jobs and Education, which I could add to Resume. Ideally, CCK / Drupal would take care of the "Add more Jobs/Education" buttons and add additional fields as the user needs.

Is this possible or do I have to create a separate module to handle this? If it is possible, how do I go about doing it? I see that CCK allows me to use individual fields for Jobs or Education, but what if I want to use them all so that the user can click "Add Another Job" and have all of the Job fields appear.

Thanks,
Talib