What term denotes HDMI switching capabilities?

My apologies if this is something that's oft-answered, but I looked through the forums and didn't find an answer.

I've been looking at receivers all morning after finding out that my current setup won't allow for my devices to output 5.1 sound. (See here for why I cried myself to sleep last night.)

I'm looking to be able to hook up multiple devices to my TV through HDMI (my current setup consists of a PS3, Wii and DVD player through a poorly made external component switch/hub, Xbox 360 through VGA, and cable box through HDMI). My TV has only a single HDMI port, and I figured that if I could get a receiver that would let me get my 5.1 sound AND act as a HDMI switch for my PS3, cable box and maybe one other device, then I should go for it. But after looking for literally the past four hours at various receivers, I cannot for the life of me determine which are capable of HDMI switching without having someone make a note of it in reviews.

So my question is: Is there some term that says "This box allows for HDMI switching, not JUST the ability to pass HDMI signals onto the TV"?

Thanks!

Yes, sorry about that but that would be my question. I've come across quite a few receivers that seem incapable of passing audio, but perhaps that's because I've been looking at sub-$500 receivers?

Thanks for the quick response. I'm looking at the 810 right now, and I think I'm going to purchase one unless something else suddenly jumps up.

Thanks again.