Hello Jes,
Try first to find a sample movie produced by the camera on the web. Most review sites post sample files.
Then try to play it using a computer connected to the TV. In any case, even if you buy the camcorder, you will have to transfer and edit the movies on your computer. Perhaps you will need also a new faster computer as HD videos are huge and very demanding. So, be prepared. If you have a PS3, you can also use it for testing if the files are compatible.
Also ensure that the TV has a recent software installed ( I have version 8.02 on mine).
Old versions had problems with some combinations of frame rates and resolutions.
Good luck,
Jean