Actually, the reports of the PSX are not an April Fools joke. There are concept designs and even a model of what it'll look like. As for the TiVo thing...it's not really TiVo, it's just something that does the same thing. Also, it is supposed to have a built in 120 GB HDD. However, because it is pretty much built around the PS2, there will be no enhanced graphics on it. Unfortunately, there is no scheduled release date for it yet (even in Japan). And seeing as how whatever gets released in Japan takes about a year or so to make it over to the States (where I am) chances are that we'll be seeing the PS3 before we see the PSX. Even more of a bummer would be the fact that since DVD-R are still fairly pricey (upwards of 400-600 USD) the console would be a tad bit out of my price range. That being said, the friggin thing does look might nice. Cheers.
Keep watching -- every thousandth time Sisyphus gets squashed!
(This pic was originally found by me at my former department's website.)