Flights
The closest airport to Eureka is in Arcata (ACV). It is about a 20 minute
drive from there to the Red Lion Hotel.
JoSonja is providing a shuttle service from the airport, but you need to call 707-445-9306 / 888-567-6652 by Monday, October 26, before your arrival if you are interested.
Red Lion has a limited seating shuttle service, too. You can also use a Taxi (about $50) or car rental (about $180 - $200 per week). The local airport shuttle is Door-to-Door (about $33/3 people).
Flights to the Arcata airport are limited, so check availability and book early.
By Car
It is a 5 hour drive from the San Francisco Airport to Eureka, via Highway 101, but one should allow for 6 hours with rest stops and traffic.
It is a 5 hour drive from Sacramento, via Highway 5, then 20, then 101.
It is a 3 1/2 hour drive from the Redding Airport, via Highway 299 (Hwy 36 is not recommended unless you like twisty roads).