The state and the recently formed union representing family child care providers in the Connecticut Care 4 Kids program announced an agreement Thursday that will provide for professional development and wage increases. The agreement came after nine months of negotiations between the two parties. Family child care providers who provide in-home care will undergo a four-hour orientation program that will include specialized trainings and information on the quality-enhancement programs offered by the Office of Early Childhood, the governor’s office said. Also, the state will offer incentives for license-exempt providers who seek state licensure, through a one-time, $500 bonus for maintaining their license status. The state now has hundreds of unlicensed family day care providers.