There’s nothing like a perfectly worn-in catching mitt. Soft and slightly tattered, it hugs your hand in the most wonderfully familiar, comfortable way. And now, you can stash your money in them, too.

At his workbench, Jimmy Lonetti cuts open a worn baseball glove while keeping an eye on an old highlight reel. Snip. Snip. Snip. Bits of frayed lacing pile up on the table like a tangle of worms. In ...