In our experience, T. deremensis prefer low 70's with 72-74 being the most comfortable for them. Ours begin to gape when temps reach above 78. We don't provide hot spots, since they really aren't necessary and only add to potential over heating (though during winter months when temps may dip below 70 during the day, a small 20 or 40 watt basking spot is appreciated).
They require copious amounts of water, especially newly acquired WC's. We mist 3 times per day at 10 mins per session. We found our hatchlings to require even more misting throughout the day to remain properly hydrated.
Give them a heavily planted enclosure (schefflera seems to be a favorite of theirs). Glass or screen depends on what the ambient RH of the room sits at. If you're below 50 or 60%, then it may not be a bad idea to consider a custom glass enclosure that can hold humidity in. Cool mist humidifiers work well for some keepers with screen cages.
All of that water demands a drainage system, so be prepared to move that mist water out somehow or things will start to get moldy etc. They do take to the ground, when males are looking to mate, or if they can't find a suitable environment. When they're not looking to mate and are happy, they will quite literally sit in one spot for long (weeks even) periods of time. Make sure to not feed them too much as their sedentary nature doesn't demand it. 6 or so appropriately sized feeders insects should be offered every day or two during the summer, less during the winter. Just keep an eye on their weight.
Lighting is kept simple. We use Exo-Terra 5.0 linear florescent's and nothing else.
I forgot to add, they should be kept separate at all times except when mating and even then it should be supervised. If you haven't witnessed it yet, they use their tongues to attack each other! Too much chance for injury in our book.
Well, that is a quick wrap up of how we care for them. Good luck and let us know how they do!
Luis