The basic tickets include reserved coach seats, much larger and more comfortable than seats on other Amtrak trains, but if you are unable to sleep sitting up, splurge for a sleeper car. The "roomettes" are best for those traveling alone or with one person. The slightly larger bedroom, for a couple with a small child, has a private bathroom, but it's not for the claustrophobic. The family bedroom has two windows, so kids won't fight over the window, but it does not have a private bathroom. Families with two or more kids can reserve a bedroom suite, with two bathrooms and room for up to six people.
Meals are included with with sleeper cars, and there are vegetarian choices and a children's menu if you have very particular needs, such as gluten-free or picky children, not that the menus are somewhat limited. The kids menu has grilled cheese, pizza, macaroni and cheese and chicken tenders, so a vegan would be out of luck. And even if you do like the menu choices, bring plenty of snacks, like dried and fresh fruit, just in case.
When Amtrak trains cross into cities, they often share railroad tracks with commuter railroads. This can lead to large delays, and the 18-hour trip can take 20 hours or more. If you are bringing children, have plenty of games and toys to occupy them; sightseeing can grow tiring if you are not moving. And pack books to keep adults entertained.