Flickr allows you to remove an individual photo from photo page, photostream and set (albums). If you want to remove a photo from photo page, then open the photo which you want to delete. Click '...' icon (More menu) located at the bottom right corner of the page and select 'Add to / remove from album' option. You have another option to remove photos i.e by using Organizr. To remove photos from Organizr, click 'You' tab and select 'Organize' option. Click 'Albums & Collections' tab, you will see all your albums or sets. Open the set and select the photo which you want to delete. Drag the photos you want to delete to the Findr bar located below. This is how you can remove photos from a Set without deleting them. You can also delete a whole set by using Organizr. This does not delete the actual photos in the set.
You can install PicBackMan's Flickr uploader for Mac from the website and start backing up photos and videos.
Quick Tip to ensure your Photos never go missing
Photos are precious memories and all of us never want to ever lose them to hard disk crashes or missing drives. PicBackMan is the easiest and simplest way to keep your photos safely backed up in one or more online accounts. Simply download PicBackMan (it's free!), register your account, connect to your online store and tell PicBackMan where your photos are - PicBackMan does the rest, automatically. It bulk uploads all photos and keeps looking for new ones and uploads those too. You don't have to ever touch it.