use a lasso or a cowboy tied rope not too tight that it will hurt the horse. dont approach it from behind or the front (horses are blind in those places) approach by the shoulder so the horse can see...
the horse chooses you just as much as you choose the horse... and remember your feet shouldn't hang over the stomach of the horse. that means that the horse is too small for you. Also, depending on...
There is no "best" breed of horse. Different horses are good at different things. Quarter horses are best at racing short distances, Thoroughbreds are best at racing longer distances, Arabians are...