In Photobucket, under each of upr pics, you probably see three little boxes, like
URL Link http.//i113.photobucket.com/zzzzzzzzzzz etc
HTML Tag <a href="http://photobucket.com/" zzzzzzz etc
IMG Code http://i113.photobucket.com/zzzzzzzz etc
If you click on the box marked "IMG Code" it will copy the address, with the IMG prefix, onto your clipboard.
You can paste that into your DIYnot posting. "Ctrl V" is the shortcut.
There are longer and more difficult ways to do it, if you prefer.
it should look like
[im[b][/b]g]http://i138.photobucket.com/albums/q272/savile/tools002-1.jpg
when you type/paste it, but when viewed, will show the pic.