FOPA will protect you on a direct flight from Virginia to Oregon. Beware of getting your bag(s) from one flight and taking them to a connecting flight. Depending on where you make the connecting flight you may find yourself running afoul of the law (NY City/State & NJ are prime examples, while Chicago does not seem to be a problem).
We should be allowed to check baggage with firearms directly to the destination, without having to claim the baggage and go through the TSA gropulation over the firearms at each connecting point. This would, among other things, avoid the trap that awaits you in NY/NJ on connecting flights or overnight flight delays.
Durham looks to be quite a ways from the Oregon border. Make sure you have a place to securely store your handgun while travelling there & back. Check the Oregon laws regarding innkeepers http://www.leg.state.or.us/ors/699.html - you may be able to put a package in the hotel/motel office safe without having to declare the contents, but their liability is pegged at $300.00.
And if you have grandchildren in Claifornia and have not taken steps to move them to Free America you should be horsewhipped!