>>4469433start saving up for when the little one starts walking and then running. you'll need something with good AF ... or you will have to shoot burst and fish out 20% keepers.
making this hardmode is that many of those images will be shot indoor in your home. where I suppose you don't have harsh and bright lighting. so you will need fast shutter speeds and wider apertures and high iso to get useful photos out of it. but then again shooting wide open means lesser depth of field means more missed focus. so yeah.
toddler photography is probably the most demanding thing on this planet when it comes to equipment. I can't imagine anything else where the conditions are so stacked against you. :0
when my kid started walking I had a Z6II ... which couldn't keep up with him most of the time. now he's 4yo and I have a Zf and it's much better. his movements are way more predictable and the current gen Nikon AF manages to track him properly. but the Z6II was hopelessly outgunned.
enjoy the baby phase with your gx9 - it's a fine cam for when you don't need action shots. but start saving for an OM1 or G9II ... should be less expensive a few years down the road.