She needs to file AR-11 online within 10 days of moving.
You, as a sponsor, need to file I-865 within 30 days of moving by mail (not available online).
File I-751 from Washington.
There should be no issues with it.
Make sure to update addresses on your bank accounts, DLs, other documents promptly after moving. You can also set up USPS forwarding. The biggest implication would be filing taxes next year, as you'll have to file two state taxes.