Improving Care for Veterans Act This bill requires state homes that receive funding from the Department of Veterans Affairs (VA) to have a governing body that is legally responsible for establishing and implementing policies regarding the management and operation of the home. A state home is a home established by a state for veterans who are disabled by age, disease, or otherwise and are incapable of earning a living because of such disability. The term also includes a home that furnishes nursing home care for veterans. Additionally, the bill requires the VA to provide payments for states to assist state homes in the hiring and retention of infection preventionists.