What is hunter/jumper, eventing, and what is countercanter and flying leand changes

I want to start riding, but need to know what these terms and events are first! :) If anyone could help me, then that would be great!

hunter - this type of showing is when the horse is mainly judged, not the rider (although the rider makes a big difference). The judges look for the horse's form over the fence, obediance, an more...

jumper - this is more about speed and power than about form. there is a "time allowed" and the score is measured in faults (you can get these by knocking down a rail, going over the time allowed, etc.)

eventing - usually made up of 3 different things: cross country, dressage, and show jumping.

counter canter - when a horse canters, it puts either it's left legs in front, or it's right, and those are called leads. a horse is supposed to use the lead that is on the inside (for example, if you are going to the left, use the left lead). a counter canter is when a horse purposefully does the opppsite lead.

flying lead change - when a horse switches leads at the canter without going to a different gait.

PS you really don't need to know these when you're starting out. you'll learn them along the way.

When a horse canters, he either leads with his left or right front leg. A flying change is when he changes which leg leads in mid canter.

Eventing is a competition made up of several different events. There is normally cross country, maybe a road race, dressage and finally a show jumping round.