When I lived in Idaho, I would go to Yellowstone every couple of years.

Upper and Lower Yellowstone falls are great. Lower is the more famous one. Artist's point has a great view...as the name would imply, but there are several great vantage points, including hikes down to the falls.

Upper and lower geyser basins are great, Norris is pretty good too. But Upper and Lower are the most famous, have a nice mixture of colorful springs and geysers.

Lamar Valley in the NE corner gives a different feel and often has herds of elk. I spent one day watching coyotes work the edges of the herds. A long lens and even a spotting scope would be a good idea.

I also didn't see you mention Mammoth Hot Springs. They are very great.

Both Lamar valley and Mammoth Hot Springs are fairly out of your way if this is a more Teton focused trip.

The loops are long, plus you can get behind RVs or hordes of people looking at wildlife. So it is a big park and you often move slowly through it.

Have a great trip. Two (Teton and Yellowstone NPs) of the great places in the world, IMO