This information about transportation options in Eaton might help your romantic getaway go off without a hitch: To get to Eaton, you can fly into Dayton, OH (DAY-James M. Cox Dayton Intl.), which is the closest major airport, located 24.5 mi (39.4 km) from the city centre. If you’d like to venture out around the area, you may want a rental car for your journey.