Inheriting Firearms from Out of State

My grandfather passed away in Tennessee a couple of weeks ago. He’s leaving me his firearms that he collected over the years. I’m currently in Tennessee helping my grandmother. How do I get these firearms home to Washington legally?

They include:

• an antique air rifle
• 2 .22 rifles (one antique)
• 2 shotguns
• 2 handguns (revolver and a .22)

As I understand it, I’ll need to get with a licensed firearm dealer to do a background check. Can I do that here in Tennessee and then drive them to Washington when I go home, or will I need to actually have a dealer ship the firearms back to Washington, do the background check there, then pick them up there?

Appreciate the advice. I grew up shooting but wouldn’t consider myself an enthusiast and haven’t much kept up with the intricacies of Washington gun laws since I moved there, other than knowing they’ve been changing.