Cut baby’s finger badly when cutting his nails

It happened last night. We can get it to stop bleeding, but because of where it is he irritates it and it starts again. It has started bleeding twice today. I’ve super glued it, but it comes unglued from him bending it. What can I do? Do I take him to the hospital? What would they do? I feel so awful. How did I cut him do bad? ☹️

Edit: He’s almost 1, so he won’t stay still! Can’t keep a bandaid or glove on it.