Turnips are root vegetables with tough outer skin that can be difficult to remove, thanks to their uneven shapes. This also makes them prone to wobbling as you try to peel them. To do this without the risk of your peeler slipping and potentially cutting yourself, you need to give the vegetables more stability. Not only will this make the peeling process safer, it can help prevent you from inadvertently removing large pieces of the turnip flesh along with the peel.
Place the turnips under cool running water and scrub them gently with a nylon or plastic scrub brush to remove any outer grime. Rinse the turnips thoroughly, then pat them dry with a clean paper towel.
Lay each turnip onto a cutting board or other flat work surface. Slice horizontally across the top of each turnip with a sharp knife to remove the stem and greens. Cut horizontally across the bottom of each turnip as well to give the vegetable a stable bottom.
Stand a turnip up so it rests on the flat, stable bottom. Position a vegetable peeler at the top of the turnip and drag it down the length of the turnip.
Continue the dragging process with the vegetable peeler on the other areas of the turnip until all of the outer skin is removed. Repeat with the remaining turnips, then slice or chop them. Prepare them as desired.