Specialty Baby Gift Basket - Newborns Gift Baskets - Choose from these beautiful Gift Baskets perfect for celebrating the birth of a new baby! Baby gift baskets inlcude gifts for newborns, Girls and Boys.. Welcome a baby with wonderful gifts that include music, teddy bear, baby's first footprint, teething toys, infant outfits, baby essentials. We also have a gift basket for kids including our new Easter Bunny Fun gift basket. Our Specialty Baby Gifts make a perfect Baby Shower Gift.