If the properties of your Word document contains information that you do not want included in the PDF, in the Publish as PDF or XPS window, choose Options. Then select Document and clear Document properties. Set any other options you want and choose OK.
In Publish as PDF or XPS, navigate to where you want to save the file. Also, modify the file name if you want a different name.
Adobe Illustrator, as with other Adobe programs, is built on core PDF technology. In fact, the native Adobe Illustrator file format is PDF, and as such it is one of the best applications supporting direct export to PDF.