The process to add a photobucket slideshow to your blogger blog is very simple.let me take you through the process :
Login to photobucket account and create a slideshow as you normally would.
now choose which slideshow you need to show on your blog [ if you already have several slideshows in your account ] .for example these are my slideshows in photobucket:
Iam going to choose the second slideshow for demo purpose.when you keep your mouse over the slideshow,you will get 4 options – select “HTML code” and the code gets automatically copied to the clipboard [simple but really nice feature in photobucket].
Now login to blogger account and select the blog to add the slideshow.
move on to “layout” and click on “add a gadget”
now give a title and paste the code you copied on the photobucket page [ press ctrl+v].now click on the save button.thats it.your photobucket slideshow is now ready in your blogger blog.you can then position the slideshow widget whereever you want.