Sparky's Briefs - TV questions

Heya gang. Due to the awesome low cost of my recliner and my even more awesome parents chipping in, I was able to buy this Vizio TV today. I have some basic questions for all of you, and since this is my first HDTV, these are going to be kind of dumb.

First, I'm going to want to hook up my PS3, Xbox 360, Wii, PS2, and satellite box to this thing. I reckon I can hook up my PS3, 360, and satellite via HDMI cables. Am I correct on this point? I know I'm going to need an HDMI splitter, so do you folks have any recommendations, particularly with an eye towards buying either a PS4 or an Xbox One sometime in the future? Does the satellite box require anything special to hook up to an HDTV? It's about a four year old receiver.

Second, are there any special things I should know about HDMI cables in general for gaming? Any particular brands I should buy or avoid? My setup still isn't ideal, as I will continue to have my TV on a desk while the consoles and satellite sit on a chest next to it, so the cables will need to be lengthy.

Finally, I should be able to hook up my PS2 and Wii somehow with those yellow/white/red cables,, right? I mean, it won't take some sort of other kind of device?

Thanks for putting up with my dumbass self.