Ninetales learns both by Egg Move. So....I don't want you to chain breed, so, do one or the other:
Flare Blitz=Charmander/Vulpix/Growlithe/Ponyta/Combusken/Monferno and their evos.
Extrasensory=Vulpix/Ninetales/Nuzleaf/Shiftry
Get a male one and breed it with a female Cyndaquil. Then the egg will be a Cyndaquil with Flare Blitz/Extrasensory. Providing the parent knows the move.