Have you tried searching the child care council of westchester's website? They list NYS licensed providers - home based, day care center, etc.
Child Care Council of Westchester, Finding child care, training for child care providers in Westchester County NY. You can search by different criteria, including zip code.
And it would probably help if you were more specific about the type of day care you're looking for. Everyone clearly wants the best care for their kids, but that means different things to different people. Are you looking for home based, day care center, do you need longer hours, want montessori, is there a max price you're willing to pay, etc?