Nearly 300 enroll in Cook County’s Medicare Advantage Plan Dec 16, 2019 | Insurance, Medicaid/Medicare, Top Stories Nearly 300 people signed up for MoreCare, Cook County Health's new Medicare Advantage plan, during this fall's open enrollment period.To access this content, you must purchase 1 Year Health News Illinois Subscription or 1 Year Group Subscription - Up to 5 Users, or log in if you are a member.