Going out with a 10 square meter Ozone Access XT foil kite, modest 5-6 m/s winds were sufficient for nice cruising speed on skis. I met also few other snowkiters, equipped with (leading edge) inflatable kites, which can be used year around (floats in water), but are somewhat different to set up and use, compared to foil kites. As I have no interest in summer kiting at this moment, I am better off with a large foil kite that allows fast setup (up in the air in minutes) and minimal bulk, and can be used in a wide range of conditions. With the kite I use a seat harness for comfort, and always carry a short ice screw and a carabiner to park the kite safely when needed (and normally ice claws as well, just in case).
Snowkiting has been gaining popularity in good pace at least in Finland, and courses are arranged regularly. Starting with a course is highly recommended, as you get to try different kites to assess what to buy yourself, and most importantly learn how to fly a kite safely. For example Waiting for Viima and Kitetirri are worth checking if you want to get started - Kitetirri is also arranging a snowkiteweekend in Sieravuori in February, which is a good opportunity to get started (or get better) and meet other snowkiters.
While zigzaggin on ice, I shot some footage with the new GoPro Hero3 (attached to helmet and using the chest harness), here's a quick edit (no adjustments made to the raw video) for some rider's point of view: