I think that applying your own specific standards of giving gifts to receiving them from others is a recipe for disappointment.
This. OP, I think some of the replies on this thread have come across a bit 'why would you want such a thing in the first place?' which is missing the point. It's totally fine to want whatever approach to these things you want. Your dea of having something to commemorate your first Christmas as a mother sounds really sweet. (Heck, what I wanted to do to mark this, my first Christmas with my baby, was to stage a Christmas card photo of us where I'm the girl from the test card and he's the clown doll. And I did, and it's awesome. You do you.) But it does sound as though your partner doesn't approach things in quite the same way, and if you haven't absolutely spelled out the significance of what your wanted (in words, not just by getting him similar things in the past) then I can understand why he might not have realised that.
May I wholeheartedly recommend, in this horrible year, getting yourself a present? Circumstances (I'm a single parent, and my dad who is our bubble came down with some horrible lurgy that may or may not be that lurgy a week ago and still can't get out of bed, let alone drive a couple of hundred miles) meant that I was on my own with the baby for our first Christmas yesterday and I totally did give myself a couple of things I wanted. Get yourself something really nice that's exactly what you wanted to mark this Christmas with your baby.
On the photos front, I've discovered that my phone does a really handy thing where if you take a video, you can export frames from it - it can be a bit easier than taking selfies or trying to use a timer, when you want to take pictures of yourself with your baby.
The thing I am really looking forward to won't happen for a couple of years yet - I want to send my kiddo out with one of my friends and a bit of cash, and have him pick me a present. I am 100% sure it'll be utterly bizarre (or, you know, some Lego that mummy will definitely really, really like) and I can't wait!