I’m a photographer and it’s a lot like kids or dogs, so here are my tips....
(I didn’t notice if you mentioned what kind of camera or phone you are using... let me know and I can give more specifics)
Get on their level. This can even mean putting them on your level. (Picking them up and putting them on a fence so you don’t have to squat). Also, you can hold your camera phone upside down, where the shutter button is up top, and be able to get lower. I often will just do this and hold the shutter as the chickens run to me.
Lighting - the softest best lighting for just about ANY situation is diffused light or shade! Cloudy days, in the shade of a building structure, etc. now.... this will take better photos but you may have difficulty stopping action (as you have seen). If that happens you need MORE light. Play around with this... and find spots on your property that can vary the light.
(Also, if the sun IS out, you want the sun behind you. You will be in between the chicken and the sun. Don’t forget the golden hour, which some of my birds are already roosting by.... but just before sunset when the sun gets BIGGER in the sky, the light is softer and there aren’t shadows. The worst light is when the sun is the smallest in the sky.)
For dogs, I always used a duck call and it works with chickens too. They’re like 10 bucks at academy, or you can improvise. The point is, you want to make an engaging, captivating sound just prior to the photo. Not something that will scare the subject, something that will stop them in their tracks and get the attention you want. I have been known to be on my hands and knees BARKING at dogs. Hey.... it gets the shot.
Those are my best generic tips, let us know how that works for you, I’m happy to offer more specific to your camera or property!