your way can also just that kyobashi to arashiyama would be longer distance.
when are you travelling btw?
i picked fushimi inari first bcos there is no opening time, can go there at 8am (there will be less ppl and no one photobomb) if you wanna spend more time at arashiyama. whereas, for arashiyama, all except two of the temples open at 9am
Kyoto Travel: Arashiyama and Sagano.
so if you do arashiyama first, must try to reach fushimi inari by about 4pm. in winter, by 5pm will be dark. heard it's quite eerie the later it gets cos quite quiet and not many ppl around.
for arashiyama, also quiet after 5pm in winter but not to the extent of eerie even at the bamboo groves.