This pro life tip brought to you by The Irritation of Removing Uncomfortable Tags.
Use a seamripper to remove the stitches that attach a tag and the garment itself. See attached picture for a demonstration of this. Seamrippers are cheap (~1 USD is typical) and available at any store with even a token sewing section, such as walmart or target, and some grocery stores as well. Using a seamripper lets you remove the tag entirely, while cutting the tag off usually leaves behind a sliver of the tag fabric that can be uncomfortable.
I’ve never used nail scissors, don’t know. Before I realized I could use a seamripper I cut the tag itself as close to the seam as possible with ordinary craft/paper scissors.