Your understanding of KVM switches is correct - they allow one set of Keyboard, Video and Mouse to control any of several computers. Your request is for the opposite.
The key may be in recognizing that your proposed human interfaces are connected to the computer differently. This gives you the freedom to have them ALL working at the same time - you just don't try to use them all from two locations at the same time.
Consider this: suppose you were to place your TV next to the computer. You must add to the computer (if you don't have it already) a video card that sends out either a modulated TV signal on a standard channel (like 3 or 4) OR a set of Composite video and 2-channel audio on standard "patch cords" with RCA phono plugs on the ends. Once they're hooked up, you will see the video images on both the monitor and the TV; likewise the sound will come from both the TV and the computer speakers.
If you send out a TV channel, then at the TV end you might need a small cable switch that allows you to select which TV antenna cable you are feeding to the TV - the regular one with all the commercial channels (often including channel 3 or 4), or the special cable coming from the computer's TV output. Then you merely choose channel 3 (or 4, or whatever) so you can see and hear what is coming from the computer. Technically, one of those signal splitters used to hook two TV's to one cable can be used in reverse as a mixer so that two input cables can be combined into one feed to a single TV, but I do NOT recommend this - you would be feeding your computer's output into the entire cable TV system, over top of existing channels!
If you use the composite video / stereo sound cable system there may be a slight advantage. IF your TV has those input connectors, they usually can be selected (often by the TV's remote control) as the input in place of any channel, so the TV's system itself provides all the signal switching you need. However, there is a limit to the length (and cost) of those video / audio patch cord sets. To reach from one room to another, you may have to use the standard "cable TV" coaxial cable sending a TV channel through.
Now, that takes care of the visual and sound outputs in two locations - they both can be operating simultaneously, and you can simply turn each place on and off as you wish. For the keyboard and mouse, you already have the solution. If you hook up a standard wired keyboard and mouse to a computer, and then add a wireless keyboard and mouse, you will find they ALL work. You can confuse the machine a little by using two keyboards at the same time, but not really. The poor machine just takes it all in and tries to use both inputs as if they were one - can make a real mess of your word processing document! So, you leave the wired keyboard and mouse hooked up to the computer, then install the transceiver for the wireless devices on the computer, and carry them into the TV room. The only problem could be range of the transceiver - can it reach into the other room? One thing for sure - the wireless set will have to be done as radio signals, not as IR signals. I think both types are available - just get the right one. I'd test the range carefully, though, to be sure the signals will work from TV room to computer location.