How can I save a project made with PhotoStory 2015 Deluxe so that it can be emailed? Is there a specific format that it needs to be in and does the person receiving the file need any special programs?
PhotoStory is an editing program. The output is an export, so you export to one of the video formats like mpeg, wmv, avi. Then you send the exported file. However, you will probably find that the file size is too large to email, so you should upload to a web server, like DropBox, and just send the link to the file. Search in this forum for Dropbox and you will probably find more info as to how to do this.
As for using PhotoStory, exporting is one of the basic functions of this and all of the other audio and video editing programs. I strongly suggest that you read the manual.