Ha. My only advice would be not to use Publisher 
The answer to your immediate problem, however, is the <embed> tag, I believe. If the photobucket slideshow is a shockwave flash thing (which I'm pretty sure it is) then the code would look something like:
<embed type="application/x-shockwave-flash" width="xxx" height="yyy" src="http://whatever.the.link.to.the.source.is"></embed>
The src (or source) is likely to look pretty cryptic. Photobucket probably provides copy and paste scripts for what you're trying to do...problem is, they don't always work as intended. Nevertheless, you can get the accurate src from it.
There's only one good way to learn web design. Monkey with it. Try something, when it doesn't work, break out the google and start reading. Rinse and repeat.
Good luck.