Use your PC to your advantage--point your search engine at "mts file format." (Skip the apostrophes.) The format isn't unique to JVC--Sony uses it, too. Many links pop up--some offer converter programs to convert mts to more "friendly" Windows or Mac formats. Some like-minded Youtube video demonstrations exist, too.
I don't own one of these SD card devices yet (I'm still into mini-DV)--but I'm looking to purchase a good flash-memory camcorder--JVC interests me since they use Konica/Minolta optics. They've made very good camcorders for decades--the company competes strongly with Canon, Sony, Samsung, and Panasonic. I believe that JVC may have come up with the first "megapixel" camcorder.
Finding good video editing software that will do as you desire very likely exists--it isn't free, but it should help you to edit and convert your video as you wish to produce better results--you may find it a very good investment. (Make certain that it will edit and manipulate this format.)
The program must be fairly current, at least--old mini-DV or 8mm/Hi-8 to mpeg2 software from the tape days won't work. I'd also venture to say that Windows doesn't really offer what you need. I'm given to understand that now it will edit mini-DV tape format and other legacy consumer media format, but not the highly compressed formats such as this and other AVCHD/h.264 variants.
I do undestand that Windows may be able to burn certain types of AVCHD to DVD (not Blu-Ray), but it can't edit them--in a sense, the burned DVD really is an unedited archive-copy that will (given that the format is supported) play directly on a Blu-Ray player or a Sony Playstation 3.
For edited creation from today's flash camcorders (certainly including HD Blu-Ray), you must lighten your wallet, somewhat. The same situation was true in the tape days: With micro-DV, one had to buy and install a firewire card that would transfer the video to the PC (firewire still is required for mini-DV transfer) as well as a special editing program to create and burn mpeg2.The burned disc will play as a VideoCD or DVD. As is so true today, people didn't like the hassle and expense of video creation.
The point: The technology must be nearly dead before Microsoft supports it well! For the most part in the media-creation world--even at the consumer level--Windows is merely a PC operating system which provides the necessary framework that allows specialized software to function.
You'll need a PC or Mac powerful enough to manage such complex formats and software, too. The video circuitry of most laptops might not prove suitable--that circuitry is the most likely "bottleneck" for those. (Windows-based laptops are getting better: The fabricator- companies now realize that that these no longer are merely for business-types working leisurely in coffee shops!) The faster and more powerful your PC, Mac, or laptop is, the better. That's true for both audio and video creation....
Software companies which may offer what you need include Roxio, Ulead/Corel, Sony, Adobe, and Nero--among others. Do PC searches and check out whether the software offerings will edit the format. Walmart may have something that may work for you in its PC software shelves (or "Ship to Store")--perhaps from Roxio or other companies--maybe also software from Sony or Adobe, etc. In that case, make certain to read of the software's capabilities--along with its hardware requirements--on the box.
Loads of people online will bend over backwards to help you succeed--and, to succeed well! (They'll also help you with PC and software problems, PC optimization, and upgrades, tips of all kinds, camera and camcorder problems and "quirks," etc., too.)
Really, this isn't the best place to ask for help for this type and level of tech info--that's why, belatedly, I'm the first to respond. Maybe a PC/media creation industry pro or a knowledgeable teen--say a friend or neighbor--may prove a great asset, also!