Swimwear Care for a swim? Take a dip into our selection of one-piece bathing suits, bikinis, and cover-ups that are guaranteed to make a real splash. Women's Cute One-Piece Swimsuits. Looking for a chic swimsuit that offers a bit of coverage? Look no further. Bare Necessities has the most amazing assortment of cute one-piece bathing suits from the best brands on the market. Baby Doll swimsuits were shaped like the classic princess suit but had short boy shorts instead of a skirt. This was very new to the ’50s. Playsuits and rompers were already one piece shorts but to turn them into a swimsuit was finally acceptable in the 50s.