That's actually a lot of Hellfire moves to start with. I would say start with the very direct stuff like Fire Breath, Fire Ball and Fire Pillar, and fancier or different applications like Fire Whip and Fire Cloak for later levels of Hellfire.

Plus Fire Cloak is pretty OP too, so I would say get rid of the heal. You are allowed to be healed when struck by fire attacks though during Fire Cloak, but not a passive heal. You should put the passive heal with your Devil Trigger instead. That said you can start with a Devil Trigger.