The adaptor thing is by far the best solution.
#1 it allows you to keep the video card you currently have.
#2 it allows you to get future video cards, without the need to pay extra for TV out. A one time investment.
To keep up with modern games, you should upgrade video card often. I usually upgrade twice a year.
Onboard TV out is something that can be ignored when upgrading.
#3 the adaptor, or more correctly called a scan convertor, is designed for one thing. TV out.
That means it does TV out better than any other methods, especially when compared to video cards with TV out.
Normally it will also be much more feature rich, and include things like a remote with zoom and highliting, etc.
No drivers or software are needed. All needed software is coded into the convertor. However, it does include
special font software that you can install if desired. This special font software enables text on the TV to look
much better for things like web browsing. I never use additional software, and even web browsing looks no worse
than those TV top WebTV boxes. Not great for web, but usable. Your TV's quality has a lot to do with results.
#4 Since adaptor is made to be connected to a TV, and does not care what PC is used, it's great for those times
when a friend brings over a PC for multiplayer gaming. You can use your monitor, while friend uses TV.
You can even plug it into a laptop for some quick and simple TV gaming action, or internet browsing.
#5 Resolution with scan convertor is MUCH higher than any video card with TV out.
Ability to run 1600x1280 @ 152 refresh rate is fairly normal.
That allows you to use both your monitor and TV at same time, and the monitor can stay
at the gaming resolution you normally use.
Of course all of this comes at a price.
Focus TView Gold works great and does all of the above, plus more, and can be found on places like ebay for about $100.
Here is an example of a recently completed auction:
TVIEW GOLD VIDEO CONVERTER-NEW IN BOX (sold for $81.00)
(I don't sell these, and won't sell mine. Just a happy customer that fought with TV out on video cards for years, until I found the scan convertor permanent solution.)