Three angles:
A - For that one picture that's worth you might need to take a dozen.
Or sometimes 60 in burst mode. Liking to take photos in the first place makes it a different exercise and one might spend more effort and be more critical of that one good photo, but I'd assume people not that into photo will also need more sample to find the ones they really like.
B - You only know which one turns out well after the fact. I'd push it further: if you want to live in the moment and not be pixel peeping next to your newborn, you better not care too much about the result and just snap at every chance, especially as you won't be handling you camera while holding your kid.
And that's the same for every occasion. Just snapping a bunch of pictures when it's less distracting is to me the best strategy yet.
C - Unsurprisingly the pictures I absolutely loved weren't the same as my kid's for instance. A decade later he actually looked at his birth photo, and stopped for almost a minute at each one of them, and the one that hit him the most wasn't his. but a random shot of his mother looking at him. I'd feel so sorry if I didn't take that shot, it was horribly framed and totally unthought, but that's the one that hit him. Btw I'm in almost none of these shots, didn't think of it and wouldn't have cared to at the time.