What if I lived in Oregon and paid state taxes but moved to Vancouver Wa in October do I get some of my money back?

 

State tax filing

Maybe, maybe not.  You'll need to file a part-year resident return with Oregon to see.  Oregon, as with other states, first calculates a tax as if you were a full time resident and then prorates it by the percentage of income earned while a resident plus income such as bank account interest earned from Oregon sources.