Once they get to know you they may be less curious.

As you can see they demand to make friends with visitors. :heart: You have very little say in the matter.
A tip: stay on your side of the fence for a while and shoot away. Then slowly ease up and settle yourself on the top rail. You will gain some much-needed height, and better perspective.
I like your shots, but you are in danger of becoming too "nosey" with your perspective. :razz: Common problem. The long nose becomes the entire image so you don't get to see those large, intelligent eyes in perspective to their heads. Just another reason to climb on the top rail, if they'll let you get away with it.

Even a step ladder on the other side of the fence would help.
And the second before you're ready to shoot, make a clicking noise to make sure those ears swing forward towards you. Horses, like most animals, are constantly listening to the world around them, and they have a habit of ruining perfect shots by a last second swinging of an ear behind them if a sound draws attention.
I hope you keep shooting, you have such beautiful models.

Good luck!