Major insurers include BlueCross/BlueShield of Western New York, Independent Health, Univera Health Care, and Fidelis Care New York. If you’re self-employed or have your own business, these insurers will have programs for you, too. In addition, income-eligible New York State residents may qualify for health care programs offered through the state and administered by the major insurers. These programs include HealthyNY, Child Health Plus, and Family Health Plus.