If so, what did you get and how do you like it?
I got the Canon XH-A1. So far I like it a lot, but it is rather overwhelming. I'm learning new terms like knees and zebras. I'm learning what shutter speeds are best for what situations. I'm learning when to use 24F vs 60i for the frame rate. I'm learning which codecs to use when editing and rendering. It's a lot to learn, but it's interesting.
I bought it for the following reasons:
1) Now that I'm used to high definition and now that we've moved to 50" and larger TVs, watching SD home video is far less appealing. I don't want to shoot SD video anymore.
2) The XH-A1 has gotten great reviews. It allows (encourages) lots of control by the shooter. Having really enjoyed learning about photography, I thought learning videography would be interesting.
I would not recommend the camcorder to anyone that doesn't intend to take up videography as a serious hobby. If you use it as a point-and-shoot, I don't think that the difference in quality between it and an HV20 would justify the extra bulk, weight, and cost.
Especially if you've had it to the World...
I don't think that I'd take it to the world. It would probably shoot great video, but it's rather bulky. I already drag around an obscene amount of camera gear. I'll probably get something like the Canon HV20 for our next trip to WDW.
If you have a mini-DV camcorder, can you just plop the mini-DV's in your regular DVD player to watch your videos
No. Mini-DV is tape. They are little, bitty tapes. When shooting mini-DV, you should tranfer your footage to your computer, edit it, and then distribute it via DVD. It's more work, but it results in better quality output.
You are probably thinking about camcorders that shoot on little DVDs. With those, you can play the discs on any DVD player. If you intend to just shoot video and watch it without any editing at all, they are a convenient choice. Just be forwarned that not even Steven Speilberg shoots video that other people would find interesting without at least some editing. It's sort of like taking pictures without being able to through away the bad ones, only worse.
Is this because we have just a CD burner on our computer?
Yes.
Do I need to get a DVD burner to make DVD's that we can play on our DVD player to watch on tv?
I believe that you can burn then in VCD format and that will play on most, if not all, DVD players. The quality and/or the playback time will probably be reduced. I'm not sure what other DVD capabilities (like menus, chapters, etc) you'll lose with a VCD.
I would recommend that, if your computer has a USB 2.0 port rather than just USB 1.1, you buy an external DVD burner and burn DVDs rather than CDs. I think you can pick up an external DVD burner for something in the neighborhood of $50 on NewEgg.