Key points to ensure that a trainer is compatible with bicycle?
Generally, not much. You need to look at the manufacturer's wheel size ratings and the hub widths allowed, along with the type of the axle (e.g. if you have a maxle, you'll need a special replacement maxle). If you're still not sure, contact the manufacturer.  

If you have a standard width hub (130 to 135 mm, which you have), and 26 or 700c wheels (which you have) and a standard quick release hub (which you have), you're pretty much good to go with nearly all trainers on the market. 

Kurt Kinetic has a page describing their compatibility here. If you're still not sure, either go to your LBS and try one, or contact Kurt Kinetic themselves.