We flew from Lima to Puerto Maldonado and then took a boat down the Tambopata River. A couple hours to get to Refugio Amazonas, where we stayed the first night. Then a few more hours on the river to the research center where we stayed for 3 more nights. Definitely worth it! The rooms are actually quite nice... the only down sides: (a) you have to be REALLY careful about the tap-water (I think this is where I picked up an amoeba by accident... I wasn't drinking the water, of course, but just may have gotten a small amount in my mouth, which ended up putting me in the hospital several days later in Cusco) and (b) because the rooms are open on one side (which is nice), the room fills up with moths and other bugs at night and then the bats come in and eat them all, leaving the floor covered in leftover wings and bug bits. They are doing a lot of great work on the Macaw populations. Early morning expeditions to the Clay Licks where the Macaws and parrots go to supplement their diets allow you to see hundreds and hundreds of birds. Also, healthy populations of Howler Monkeys, Spider Monkeys, Tamarind Monkeys, etc.
BTW, the first 2 pictures in your question look like they are from the Refugio Amazonas, and not the actual TRC. They have that nice Canopy Tower you can climb up at sunset to watch the sun go down over the rain forest and listen to the birds... and the overhead view of the facility looks like the layout of the Refugio to me. The TRC is a bit more spread out. The photo in the article is definitely the TRC, though. Both places are really nice. They have a 3rd property somewhere in the jungle as well, but we didn't stay there.