Just click inside the square just above the photos to be deleted to place a checkmark in that square, then when you're ready, go to the bottom of the page and click "delete selected". That will do it. You can only do it a 'page' at a time.
Thank you very much Robin.
I knew about those little squares but could not find that option "Delete all marked" at the bottom of the page OMG, I feel so silly now.
Thanks again. I finally cleaned my PhotoBucket.