Same Job - Worked in State is NY and Live in State is WA

I have the same job but relocated from NY to WA. My work in state is still NY and my live in state is WA. Right now I am taxed as if I still live in NY. How will this affect my taxes since WA has no state income tax? Will I receive a refund coming the next tax cycle for my time in WA? I read NY has a Convenience of the Employer rule - does this still apply?