Two things to note.
The broken links will still take you to a Photobucket page showing the full image, so changing them to links might be better than completely deleting them. You might be able to get a script to fix everything.
As for alternate hosting, I've used ImageShack - Best place for all of your image hosting and image sharing needs
for many years, and I've been pretty happy with them.
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I'm not arguing, I'm just explaining why I'm correct.