Hi Dan~
It's really hard to notice everything all at once, especially whilst being so very excited over the prospect of a new snake!! No need for self-mutilation!!
I would give the snake a little tubby: fill a plastic container with enough tepid water to go half way up your snake's belly (he shouldn't be swimming!) Place the container back into the snake's enclosure, on the warm side, if possible. Let him hang in there for a bit. Take him out and see if the skin has loosened enough for you to be able to manually remove it.
Let us know if this helps