There are two main ways of Riding,English and Western. Western,has a horn on the pommel. And is very distinct... The English saddle is more elegant and ways much less. But does not have a horn. Halters-Halters are usaully used when not riding,To tie a horse to groom and so on. Lead Rope- To lead the horse.It is a piece of rope that attaches to the horses halter under the neck. Cross Ties- Connects to the halter.Used when grooming,etc.