Eh, I’d still argue in favor of 4K77 over despecialized. Even Harmy himself has gone on record as saying he’d recommend it over his current work. It has several things going for it. First and most importantly, it’s a faithful scan of original 1977 sources and not a fan made reconstruction. Secondly it’s available in higher resolution (despecialized is 720p whereas 4K77 can be had in 1080p or 4K).
While I don’t think the natural film grain will be an issue for your kids (it wasn’t for mine), there are several different DNR versions of 4K77 that reduce and smooth out the graininess to varying degrees to suit your preference.