You can cut featers, nails and beaks without problems.
Only in de base of the nails and in the base of the beak are bloodvessels.
The feathers don't have bloodvesels in them.
If you don't want to try it at ones yourself ask somewon tot show you how.
New feathers are generally blood feathers. Check the shaft - if it's dark there is still blood in them. If they look hollow and are lighter they are fine. If you do happen to cut a blood feather - just pull it completely out. The bird will complain- but it's for the best. Some small birds like budgies can die from blood loss through broken blood feathers. My hens have broken them on their own now and then but have been fine. I don't worry too much about them. And it won't hurt the hen if you do cut one - they aren't like cutting the quick in their nails where there are also nerve endings.
The best thing to do is pull them out - as they van continue to bleed on and off.