I stopped liking Photobucket when the hotlinked images were replaced with tiny annoying signs like "Look who's popular!" etc.
And as for the sites like Photobucket, look
here and
here. Just remember that these sites have different rules what comes to the image use.
I just use IMVU's own albums if they fit in the size limitations (and most of the time they do). They're all tied to your account and won't disappear until IMVU disappears, so what's there to lose?
And if your images are AP, just set the album privacy to "Only Me". You can still embed those images to AP pages, and they will work just fine.