And I would suggest the opposite of what hulkrogan said, and go for LCD with your uses with PC and gaming. Biggest thing to look at would be the response time.
Also, keep in mind that you are looking at some very different TVs there. Even in screen size- your 42 inch is 30% bigger than the 37". Make sure you are comparing apples to apples. Here's a helpful link for comparing the screen sizes:
http://www.cavecreations.com/tv2.cgi