There are 1 train company operating 3 routes - City Of New Orleans, Southwest Chief, Sunset Limited. The cheapest train costs $362 and is 1d 21h 13min.
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There are 3 ways to travel from HMD to GLP. 4 trains, 3 flights and 1 by car are possible between the two areas. The by car from HMD to GLP is the cheapest and fastest. The train operated by Amtrak running from HMD to GLP is the most convenient.
It's important to check each mode when booking your ticket so that you can find the best method for you. The cost of each type varies differently, so be sure to use Faretrotter to keep an eye out!