We now have an Image Gallery here on the Fire. It is free. It is designed primarily to serve images over SSL / https (i.e., securely) which Photobucket was not doing. Serving image and pages securely is pretty much mandatory in today's www.
Go to Image Gallery, upload, right click on the uploaded image to get the URL (htts://www.yadya.com/image.jpg) and drop that image anywhere on the site between image tags, and it will display.
I am here to help.