MileKing, there are no hotels on the airport site. The closest hotels (or should I say "motels") are 1* and will probably have a trailer park or donut shop next to it. There are taxis out front on the right side, new shuttle vans available this year, but no local buses and very few complimentary hotel shuttles. What time of day will you be arriving? If you want, you can email me for more detailed info. I've lived in Eugene for over 25 years.
Linda