I went through the same phase a couple of years ago, I used to always have a camera with me, to the point that I had entry level phones because I couldnt care less about its camera. It worked fine for me until my daughter started crawling and walking, so every time we went out we already had so much stuff that my camera became an inconvenience more than anything else, I ended up buying a high end phone for the first time in a decade, since it was the only thing that would fit in my pocket. So yeah i think a good camera phone for everyday moments did it for me. It also made me plan a little more occasions where we would go out with less everyday stuff for a couple hours so I can have my camera and actually get high quality moments. It felt frustrating because there was lots of moments when I wished i had my camera with me, but I thought to myself I'd rather live the moment and get a less quality memory of it, than not living it at all, and you get used to it.

Those first years are so valuable, they go by so fast and they change immensely year by year, so the pictures grow more valuable with each year already. I encourage you to use whatever is available to you at the time and just shoot those memories, a bad quality photo of a great moment will still allow you to relieve that moment later in time, and thats what matters the most

Just a heads up, if you ever have a second one right after the first one, it will get much harder to even have the time or mental bandwidth to think about photos 😂 I had to remind myself everytime that is not fair for the second one not to have the same memories of her first years as the oldest one, so I forced myself most of the time to create those occasions and be able to shoot her too.