Inverters are a good kind of split-type airconditioning unit. A lot of brands carry that kind like Samsung, Carrier, Condura etc. While it may cost you a lot in buying one unit, with an additional for installation, you can save more in the long-run because of its electricity consumption.
Usually, choosing an aircon must be based on the size of your area. You may refer to this link to know more about choosing what unit suits you best: http://www.techlicious.com/how-to/select-the-right-room-air-conditioner/