Thanks to @andiesenji I ordered the Tellicherry peppercorns from Sir Spice. Best moment was opening the bag under my nose. They are fresh and tasty, so no complaints.
I have two pepper mills.One is a Unicorn that I found in my mother's kitchen when she died and seems a very adequate work horse and I appreciate how easy it is to refill. However if the refill sleeve accidentally gets shifted, which has happened twice, the result can be pretty annoying, and since the whole thing is black it's easy to miss that the hole is exposed. The other is an upside-down style from Cole and Mason. It's very solid and the five grind selections actually are pretty effective, which is not true of most grinders in my experience.
I had one of those standard Danish teak grinders from the fifties, and that lasted sixty years. It wasn't very precise, but I always liked the mid-century look of it, and the feel of the wood. None of my pepper mills ever housed a black widow.