Agree with all the above posters.
When I got the kids started riding, I went to the sale and found two old horses from a guiding outfit. Now they weren't pretty (by any stretch of the imagination), but they were bomb-proof. Kind of been there, done that kind of horses. If one the little boys dropped a rein, they would just stop and eat grass. The older kids were mounted on some old ranch horses that I got lined up. Also very well broke.
I've seen too many people turned off of riding because they were over-mounted for their experience and ended up in a run-away or bucked off.
Most disgusting lack of regard for a child's welfare around horses that I've ever seen was a couple years back at a horse sale. The mental midget of a mother but her little two year old child up on the back of a high octane "well-broke" four year old horse - bareback- when the horse was selling in the ring. When the door opened for the horse to be led out, the horse spooked at the shadows cast by the sunshine at the exit, and dumped that poor little child on his HEAD on the cement. I was halfway up the alley from them when it happened and can still hear the sickening "smack" of that baby's head contacting the cement. That woman should have been charged with criminal negligence and terminal stupidity.
Anyway, end of rant. Point of post is that good, old well broke horses are worth their weight in gold when it comes to beginner riders. Pretty is as pretty does.
Take care.