My parents, Tony and Carol Greaves, own a miniature horse farm called Little America.  We live in central Texas, just south of Austin, the state capitol.
The horses are too little to ride, but my dad saddled one up.... I just laughed.
To get the horses ready to show, we wash and clip them, and trim their feet.  We have to keep them in shape by exercising them everyday.  We run them in the roundpen for a bit (picture below) then let them cool off by walking them on the walker.
My Mom and Dad gave me a filly when I was a baby and from that mare I now have a herd of around thirty miniatures and one Morgan/Arabian cross riding mare.