Manual says Genuine Honda ATF DEXRON or equivalent, so you'll be fine with any ATF. If you buy from a factors, you're only choice will be Dexron II or III (if you get a choice,) II being slightly more viscous at low temperatures but will make no difference. Since you're using ATF as a hydraulic oil rather than a transmission fluid the detail is really irrelevant.
free
PS Doesn't look like a bad job to do.