Some selfies of you on top of a horse would be an interesting shot!!! LOL
I could just see it now, you all decked up with helmet and boots, the horse with a saddle and in full canter and your camera dangling around your neck. Every now and then the camera is at arm's distance in front of you. ROTFL. I mean something totally different.
First, Grab a few of your horse in portrait. Rarely wil they look at a camera. To them, they see a big black eye coming at them. It's guaranteed to spook them. Hold an apple out letting them know you care about them. They need that. Then you get down to the tough shots.
Recruit someone you absolutely trust. It can't be just anyone holding my "baby." This takes time to develop that level of trust. I know.
Once you have found someone, your make it absolutely clear, if they break your baby, there will be no more rides for them. (My daughter says, "Don't Bork The 'Baby!'" Have your camera on a tripod and with a primarily moderately zoom lens. I use a 28-135mm EF for good effect. Have them burst through 5 frames at a clip. They should focus on you in the saddle with the reins wrapped around in your hands. You want it cropped tight because everyone can appreciate a horse with a saddle and blanket on. Zoom in tight where you can see the top of the horse specially the ears. A horse's ears convey a great deal about the relationship they have with the rider. For example when they are twitched back, the horse is listening to the rider.
I'll let my wife or my sister blast thru some frames. My daughter will use her T6i. I lend her my lenses sometimes.
By the way, you mentioned that the chestnut colored horse is yours. What's its name?

Vicki, I have a nephew that lives out in Idaho and when he lived in Florida I was able to learn the process. A fantastic young man and wish he was still local. Fantastic set and explanation of the process.

Greg