For use on a PC, you must use the .MP4 files. .MOV files will ONLY work on a MAC with FCP installed (they will not play on a MAC that does not have FCP on it).
.MP4 files can be played on a PC IF you have the JVC clip browser software installed (it's free and included on the disc that came with the camera or can be downloaded off the JVC site). You can also use Sony's better (and free) XDCAM EX clip browser software.
As for editing, I'm not sure on a PC... I know Sony Vegas, AVID MC, and Adobe Premiere will work with these .MP4 files. Other editors I'm not sure about, especially Microsoft and other free editing software.
You could use Streamclip (free off the web) to convert the files to .AVI and use it with Microsoft's editing program.