I always had issues with nipple irritation and over the last few months I decided I'm never going to run without bandaids on my nipples again. No worthless irritation during a run is priceless so the $0.05 per bandaid and the temporary pain associated with tearing them off at the end is well worth it.
I can't tear the paper wrapper off the bandaid without tearing part of the sticky wings. Usually I'm coordinated enough that I don't rip the whole wing off, but I can't seem to get the wrapper off without tearing the bandaid.