Get the divider. For heat I would go with heat tape, there are a variety of thermostats in the $50-100 range that would work just fine. Herpstat and Vivarium Electronics are both decent brands.
Substrate is whatever you like, I use newspaper but aspen and cypress also work.
For lighting I would use the LED under-cabinet task lights and leave them off unless you're actively cleaning the cage, as BP's don't require UV and bright light can stress them out. I don't have lights in any of my enclosures, I just use a small hand-held flashlight to look for "deposits" in the back corners.