I have the same camera, and I have Sony Vegas pro 8 (which I got for free) and I've yet to buy Nero 8. I had the Nero free trial for a couple days, then I somehow deleted it?????? Didn't even really get to try it out. Haven't really fooled around too much with the new Vegas, either. Both programs, however, boast AVCHD in and out. On board the Sony, there is an option to create an AVCHD disc, but every time I tried it, I got an error message. But like I say, I haven't monkeyed around with it too much. I think you can save/render your video in AVCHD....and that's found in a different part of the program that burning a disc is....and then you could transfer it to a proper disc-burning program like Nero.
Yes, the new Nero also boasts being able to create AVCHD discs, but I wasn't able to try it out with the free trial. You can give it a shot, if 'd like. Let me know if it works!