None of Our Heroes are perfect parental material, but then, who is? Given that, Gan would probably be best all round. The rest - variable, and none of them much good towards the end.
But is we look at before they all became rather scary ...
Tarrant would best be suited to the bright (but not too uniquely so), capable, sensible, efficient, dutiful sort of kid (as he is that sort of person). Well-meaning but simply inadequate children - the dull, the timid, the scatter-brained, the fumble-fingered - would be better off with Gan or Vila, who would make allowances. OTOH, Vila would be useles at setting limits or giving much guidance - he'd be fun to have around (would make a great granddad) but is too self-centred and easily swayed to make a fist of the drudgery of raising and training a child.
An exceptionally gifted child would probably do quite well with Avon if they were old enough to have a mind that would interest him, and were gifted in areas that he could appreciate. Cally would be tolerant but somewhat earnest (and the endless Auron proverbs and sayings would guarantee serious rebellion the minute the poor sprog could manage it - a bit like the kids of ultra-earnest New Age holistic types who develop serious Maccas habits as soon as they can toddle their way there :-))
A gifted child with an unusual or creative mind would IMHO be best off with Blake, who is bright, the most inclined to appreciate a wide range of interests, and appreciates and is fascinated by other people (and is actually more readily, physically affectionate than the rest, something I personally *do* think is important to a child). But of course, there is one huge problem with Blake at the time of the series - how that conviction would affect his relationship with any child, his own or otherwise.
Soolin would make an excellent nanny, but a dreadful parent. Jenna would raise practical, serious, effecient little smugglers without a skerrick of imagination or nonsense about them (hmmm ... maybe Jenna as parent and Vila as live-in uncle, since he could provide nonsense by the bucketload.)
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