The EmWave2 (unless they've changed it in the last year) also allows you to connect to a computer via USB and the handheld device. So both options were available. I think the Pro software might be slightly more advanced, but the desktop software isn't that great so I doubt that.
The Inner Balance is a great starter option, and has the advantage of working directly on the device itself. One thing to be careful of is that the Inner Balance comes with a connection plug, but I'm not sure if it works on the lightning ports that iPhone 5s etc have. I had an Inner Balance connector, but when I upgraded from an iphone 4s to a 5s, I couldn't use their app any more. So be careful about that.
Alternatively, if you want the same benefits without all the outlay, you can just get the "Breathe Sync" app which does more or less the same thing as the emWave at a fraction of the cost. I've cced the creator of the Breathe Sync as he can probably explain it better.