FamilyCare Act of 2000 - Renames the State Children's Health Insurance program (SCHIP) under title XXI of the Social Security Act (SSA) as the FamilyCare program to provide for: (1) FamilyCare coverage of parents under Medicaid (SSA title XIX) as well as new SSA title XXI; (2) optional FamilyCare coverage of parents of targeted low-income children; (3) automatic eligibility for FamilyCare coverage of children born to a parent on Family Care assistance; (4) optional coverage of legal immigrants and of children through age 20 under both Medicaid and FamilyCare; (5) application of simplified FamilyCare procedures under Medicaid; (6) increased welfare-to-work transition (from six months to 12 months) under FamilyCare; (7) elimination of the 100 hour rule and other SSA title IV part A (Temporary Assistance for Needy Families) (TANF) related eligibility restrictions under FamilyCare; (8) limitations on specified conflicts of interests under SSA titles XIX and XXI; (9) increased FamilyCare allotment for FY 2002 through 2004; and (10) authority to pay Medicaid expansion costs from the FamilyCare appropriation. Makes appropriations.

Directs the Secretary of Health and Human Services to establish a program to award demonstration grants to States to allow them to demonstrate the effectiveness of innovative ways to increase access to health insurance through market reforms and other innovative means. Authorizes appropriations.

Directs the Secretary to award demonstration grants to a limited number of States to conduct innovative programs designed to improve outreach to homeless individuals and families under specified programs for the homeless (including SCHIP) with respect to enrollment of such individuals and families under such programs and the provision of services under such programs. Makes appropriations.

Amends the Public Health Service Act to authorize the Secretary to make grants to eligible entities for the purpose of assisting the development of integrated health care delivery systems to: (1) serve communities of individuals who are uninsured and individuals who are underinsured; (2) expand the scope of services provided; and (3) improve the efficiency and coordination among the providers of such services. Authorizes appropriations.