Peeling winter squash can be a challenge. The thin-skinned varieties (acorn, butternut, delicata and sweet dumpling) can be peeled with a paring knife or vegetable peeler.
Most recipes using these varieties call for cutting the squash in half. Position the squash on a cutting board, stem end facing you. Place the blade of a heavy chef’s knife horizontally along the length of the squash. With a hammer or mallet, repeatedly hit the back of the blade near the handle to drive it into the squash until it breaks in half.
Place the larger varieties (Hubbard and Turk’s Turban) on newspaper and use a sharp cleaver to split the hard-rind open. Or use the chef’s knife method described above. Once you have a slit cut, bang on a hard surface and pull apart. Pieces are easier to peel. With a spoon, scoop out the seeds and strings and discard, or set aside if you plan to roast the seeds.