If you eat at a single, non first-of-its-name chain restaurant on Route 66, you’re doing it wrong. If you’re getting your kicks, you’re going to want to make sure you’re well lubed – and burger grease is easy to find on route. Related The Ultimate Route 66 Guide CHICAGO START :  Lou Mitchell’s  – Free milk duds for ladies and children. Their coffee is genuinely excellent. Get there early or prepare to wait. ILLINOIS :  Cozy Dog Drive In , Springfield – Invented the corn dog on a stick in 1946. The sign alone is worth the stop.  Dell Rhea’s Chicken Basket , Willowbrook – Off-the-bone fried chicken. The neon sign is *chef’s kiss*. MISSOURI :  Crown Candy Kitchen , St. Louis – BLTs the size of your head and milkshakes you need two hands to lift.  Ted Drewes , St.…