The goats were used to people and didn't mind if you picked them up. There were several that seemed to actually enjoy being held.
We had a blast playing with the goats and watching them frolic around. It's a great family event. The farm also offered goat cheese tastings and tours of their farm. I think we might be attending this every year.
My wife definitely is. I'm surprised she didn't try to smuggle a goat into our car before we left.