An ATI All-In-Wonder (AIW) card will have TV input and output. Some AIW cards include remotes. These should be able to be used for stuff above and beyond just controlling TV functions.
There of many different models of AIW cards based on different ATI chips. You probably don't need the newest. Something like the 8500 AIW should do eveything you want and more. If it doesn't come with a remote, you should be able to buy a compatible ATI remote seperately online.