Have a Stanley knife blade to slide over area to remove splinters, get the direction right they pull out, if that doesn’t work cut a bit of skin away with nail clippers.
I always use a sewing needle sterilized with alcohol. A Stanley knife may not be able to raise the splinter enough to get a grip on it. The needle can get into or enlarge the entryway for the splinter and flip it up exposing enough to grab it with tweezers. After that I use special splinter-removing tweezers, some with magnifying glass.