"You either need a direct tv out at computer,...."- a TV Out port to connect to, and the cable or wiring adapter to output ports for that in some cases - if you have a video card in a slot you might have one on that - if you don't, most mboards with onboard video do not have a TV Out port or capability. Some video cards have a VIVO (video in/video out) port, which can also connect to a TV, but TV Out ports are much more common.
TV out uses a chip to convert the video signal to a much older standard TV display standard that results in a much coarser display than that produced by a computer monitor. Your videos and DVD playback may look relatively okay, but Windows fonts and other graphics in Windows look relatively poor on the TV. The TV display output is locked to 50hz (PAL)or 60hz (NTSC) vertically (the vertical refesh rate).
The newer the video chipset, the more likely you can display higher resolutions on the TV that will look better on the TV.
".. a tv that has computer input,...."
- most commonly a VGA port, flattened D shaped with 15 pin holes in three rows; much less likely except on recent TVs, a DVI port, larger flattened D shaped, a cross shaped slot and more than 15 pin holes in it. The newer the TV, the more likely you can display a higher resolution on the TV. The display on the TV usually looks much better that it does if you were to use TV Out from the computer and composite (RCA jack) or SVideo input because you're actually using the TV as a monitor, but it may not look as good as your computer monitor.
If you want both the monitor display and the monitor-on-the-TV display, the cheapest way to do that is to connect to the TV VGA or DVI port from a second monitor port on the card if it has two or more, or to use a video splitter box connected to a single monitor port on the computer and connect your monitor and TV monitor port input to the splitter box.
"....or a converter."
- a box with electronic circuits in it you connect to a monitor port that has a "pass through" monitor port to connect to your monitor as well, or a USB connected device or box, that has a chip in it to convert the video signal to a standard TV signal output. You connect via a composite connection (RCA jack) or SVideo connection to the same on the TV. Same disadvantages as using TV out.
You use Video In on the TV to display the computer display.