Hi, i'm sorry for this late answer on this post , this is actualy the first time i come to the tarrantula forum on this website.
I have read this whole thread before writing this message and i simply wanted to confirm what Vez said about the temperature and lightings.
I do care for my tarrantula alot, he's my little buddy hehe. I like taking him out of his container and handle him a little while i watch TV and stuff. I'm only saying this because i do try to give him everything he needs for his confort but i never realy did give him any special lighting and/or temperature and he's a very healthy little guy.
And i know he's happy in there cuz he never tryed to escape and he does have a couple of favorite spots . And the other day, i opened his container to give him some fresh water and i totally forgot to put the screen back on top . I then went back into my bedroom for at least 3 hours and i only realised i had left the enclosure open after all that time and guess what, my little friend was still inside. Now of course i do not recommend leaving your container open lol. I know that a part of this was luck
.
Now i said all this because all he has is a 10 gallons fish tank with a screen to cover the top. No special lights or heaters . Just room temperature. And to be honest, i never open any lights in my house so it's always dark and i live in a basement so windows are very small and don't let alot of light come in during the day. Now of course i gave him fake plants, a half wooden log like the ones they sell at the pet store and another thing that i bought at the store. I don't know how to call that last thing but it serves as a climbing surface since Mine is an Arboreal species. Just like your Red knee
.
I also gave him about 3 inches of coconut fiber substrate but i know he doesn't require that much since he only comes down to feed and then climbs back on something after lunch. So unless your T. is a burrower, substrate will only serve to kill bad smells and also , the tarrantula might use some of it to mix with her own silk when she builds her web to molt.
Sorry about the very long post, i know you probably knew some or most of everything i said but just in case you were still unsure about a few things, this message could possibly help 
Have a nice day
Krawll