You need to use an MP4 format (H.264, MPEG-4 video codec) for the iPad. Once transferred to your PC, you need a AVCHD to MP4 converter, such as WinX to convert to an iPad-friendly format. You could also Google 'AVCHD to MP4 converter' for free convertors.
we can learn that sony cx160 records hd video with 1920x1080 video resolution and 60i frame rate. And iPad supports play MP4/MOV/M4V videos with 1080p, 720p, 640*480 video resolution.
So I suggest you convert your sony cx190 videos to H.264 MP4 with 1920*1080 video resolution, 30p video framerate and stereo audio.
Maybe you could use this program: Brorsoft MTS/M2TS Converter. It's able to convert 1080p/1080i/720p AVCHD/AVCHD Lite/MTS/M2TS videos to AVI/MP4/MOV/M4V/MKV, etc. for further playback on iPad, Galaxy Tab, Transformer Prime, PS Vita, PS3 and so on.
The best important factor appropriates me to choose it is its large variety of video formats. I feel it is very dependable and does exactly what I need it to do. Overall I am very happy with it and feel it was a good investment of my money. So I thinks it's worth to try and you can have a free trial at first.