Hi lb,
What Laurie says isn't too far from the truth. Any kite will get you started when you are learning to ride waves ...... However, a kite that is better suited to wave riding will of course make it easier to acheive the style you are looking for.
Ironically, elite wave riding requires a kite with almost the same characteristics as a basic learners kite.
The kite should be super stable, it should be well balanced so as not to pitch forward when lines go slack, it should also not stall when stationary deep in the wind window after a fast pivotal turn, it should depower at least 90%, should turn quick and be nimble so you can throw it around fast. It should also be able to be relaunched very easily and quickly.
Low aspect ratio kites (school kites) tend to tick most of the boxes in the above characteristics, however they usually are detuned so as not to turn to quick. Some are also built overly heavy in an attempt to create durability.
Some manufacturers now make specific wave riding kites which do all of the above and also turn VERY FAST! The Ozone Light II is very nice for wave riding and works well as a school kite too. The New Eclipse Kima Wave is a nice wave specific kite. The Airush DNA is not too bad also but tends to be a bit less nimble due to it's heavy construction.
A specific wave kite will allow you to make mistakes and will be able to correct them before you end up in trouble, so they are more forgiving and allow you to concentrate on being more critical on the board in relation to your position on the wave without having to focus on the kite so much.
We have demo kites available for people wanting to try wave specific kites.
I hope this helps.
Good winds,