I can't help a lot, but I recently ordered a set of cozies from AntigravityGear for my Titan Kettle and cup, both of which have fold-out handles. They simply notched the cozy for the handle; you hold the handles while you slide the pot down into the cozy. They also include lids, which simply sit on top of the lid; they are "locked" into place by the fact that the cozy is about half an inch taller than the pot; the cozy lid pushes down into that space, and is held in place by the friction of the side of the cozy.