Upvote:5
The Man in Seat 61 provides a guide to train travel in the US. You can look up schedules and fares on Amtrak's website, as prices vary depending on your dates.
Long-distance train travel in the US takes a very long time, and if you want a sleeper, the ticket is usually more expensive than an equivalent airline ticket. By all means do it for the sake of the journeyβsome of the routes have extraordinary sceneryβbut consider that it may not be the most efficient option in terms of cost and time.