Breast Pump Insurance Orders made online or by phone. Most insurance plans now cover breast pumps. We have a great selection and expert advice. Lucina Advanced Care is dedicated to the best customer service, the best products and the tireless support for the breastfeeding community. Since the acceptance of Breast Pumps by the Affordable Care act in 2012 we have supplied tens of thousands of happy new moms with free pumps and impartial advice.