amtrak procedure

My upcoming trip will require us to be on 3 different trains over 3 days: first the Zephyr, then the Capital Limited, and finally the Silver Star. We are staying in a sleeper car but plan on checking most of our luggage. My question is, what happens at each transfer? Do staff move our luggage...

I add a series of related questions, things that seemed pretty obvious, but that I didn't know. They are too long to fit in the subject line, but the subject line basically addresses how many cars Amtrak puts on a train. For Amtrak's long distance routes, I imagine they can have a variable...