There are so many great ways to use turnips!
--Toss them with olive oil, salt, and a little balsamic vinegar, and roast in the oven. They're good mixed with rutabagas or other root vegetables.
--Make mashed turnips just like you would mashed potatoes, or do 1/2 and 1/2 turnips and potatoes.
--Mix them with other root veggies or tubers (potatoes, yams, carrots, beets, rutabagas...winter squash is good, too), cook them in a tasty broth until they're tender, maybe with some onions or garlic, and whir everything up in a food processor for a delicious creamy soup--with no cream.
--Turnips are excellent raw. If they're small and white, there's no need to peel them. If they're big and/or mostly purple, you might want to peel them because it can get tough. Slice them up and dip them in hummus or just eat them by themselves. They're a great sweet, spicy, crunchy snack.
--Don't forget the greens. If they're young/small, the greens are good raw in a salad or on a sandwich. If they're bigger you might want to lightly saute or steam them.