Depending on what you're using it for, I'd consider a few fire moves:
Fire Punch- This is a good idea to run if you plan on using an infernape with the ability Iron fist, since it will get boosted with the ability along with STAB.
Flare Blitz- Potentially his strongest fire STAB move when running a physical set; the recoil doesn't really bother him since Infernape doesn't care about his HP. Unless it's something like a bug type move, he doesn't stand too much of a chance against most attacks.
Overheat- I know this one is special, but it is common for people to run mixed attacking infernapes with the rest of their moves being physical, but carrying overheat in case of a switch.
I generally would not select Blaze kick for competitive battling since the only benefit it gains over Fire punch is a slightly higher base power, but that is undone if it has iron fist, and if not, Flare Blitz is generally the more powerful choice, not to mention both of these have 100% accuracy, and you don't want to risk a miss for a base 85 move.