The software that you are planning to use will indeed work with your AVCHD videos in their native format, and burn a Blu Ray disk, but if you aren't wanting to do a lot of editing of your videos, there is a much cheaper option to using that program.
AVS video Converter
Their software is known for ease of use and it's what I use for almost all my conversions and burning. They do have an editing program as well that you can get more info about on the link provided. It's called AVS video editor. I don't currently use this program, but it almost certainly would be easier to use. It may be worth checking both of these out since you can get a full working version on a trial basis before having to buy them.
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I understand that you agree the Sony Vegas Movie Studio HD Platinum 11 software will convert AVCHD video to MPEG2 prior to burning a Blu-Ray disc. Thank you for your response. Your feedback did help.
I will also investigate the AVS Video Converter software per you suggestion.
Just scanned the AVS Video Converter website. Thanks again.