TransportationTop things to doAttractionsRestaurantsActivitiesShoppingNightlifeEntertainmentHotelsTours▲ Train Station in LafayetteAmtrak StationLafayette is a stop on Amtrak's Sunset Limited line, which runs from New Orleans to Los Angeles (and vice versa). Bus Station in LafayetteGreyhoundLocated next to the Amtrak terminal just off of Hwy 90. Bus Stop in ThibodauxGreyhoundThe Greyhound stop is located at the Chevron station. Bus Stop in New IberiaGreyhoundBuses pick up and drop off at the Hop In Texaco. Bus Stop in The BayouGreyhoundThe Morgan City Greyhound bus stop. Bus Stop in The BayouGreyhoundHouma Greyhound bus stop.