I wish Photobucket would stop "improving" their website. It used to be so much easier to capture the IMG code than it is now.
Don, if you look at the picture above, it shows the list of codes when you hold the mouse cursor on the image. Right now, PB has those turned off, until you "mouse over" the image. If you click on the "Link Options" at the lower right, you can change that setting so that these codes always appear. Just Ctrl-C the IMG tag to copy it, and paste that into the message. No typing required.
Or you can click on the image and those codes will appear on the left side of the screen. Merely selecting the IMG code with "auto-copy" it to your clipboard for pasting into the forum.
I never use the link media button as it adds unnecessary steps.