I think you're confusing a few terms here.
Fedora Core should already include its own partition manager, but in case it does not, you just simply go into Vista's Disk Manager and reduce the size of your Vista Partition to allocate space for the Fedora Core installation.
TO burn the .ISO to DVD / CD (depending upon which media is required) you can use ISO Recorder v3
- by far the easiest way to burn ISOs to media.
You then simply put that media back in your drive, and reboot - and let your computer boot off the media. It takes over from there.