The only one of these I've ridden was the chair-car version of the Chief, Santa Fe's El Capitan, from LA to Chicago and back. I was 12 at the time, so no pictures, only home movies. Didn't see any of Arizona, as we went through at night. California desert and mountains were scenic, as was the Raton Pass area. However, the most memorable part of the trip was sitting in the dome car, rocketing across Kansas (eastbound) at 80-90 mph after dark, surrounded by huge thunderstorms. What a thrill for a 12-year old who lived in a place where it rarely even rained.
While I haven't ridden the other trains, I am a big fan of the RFD Channel's "Trains and Locomotives" program, and I've seen plenty of videos of most of these routes. Since you live in Albuquerque, you're in a prime position to make a "great circle" train tour. How much you do is limited by your time and budget, but here's my suggestion:
Head west on the Chief to LA. Go north on the Starlight to Seattle or Portland. Then go east to Chicago on the Empire Builder. Return home on the Chief. Alternatively, you could get off to the Starlight in the Bay Area, and take the Zephyr to Chicago, and back home on the Chief. The best scenery on the Starlight is north of the Bay Area, so that's an argument for continuing on to Portland/Seattle. Conversely, some of the best railroad scenic views in the U.S. are from the Zephyr, as it goes through both the Sierra Nevadas and Rockies.
Decisions, decisions. When you get back tell us about your journey.
With pictures, of course.