You're going to need a dish capable of HD reception, an HD Receiver, from there the connections are pretty simple. Satelite output from the receiver to the input on the TV. This can be HDMI connections or RCA Connections but the quality isn't as good.
In the trailer I connect my Direct TV HD receiver directly to a HDMI connector on the television. I don't get sound through the concertone, but then I use a wireless headset. At home one of my televisions is not HD and does not have a HDMI connector so I connect the same HD receiver RCA yellow, red, white from the HD receiver to RCA connectors on the TV. I don't know if you can get HD from RCA connectors. Someone else on this forum may know.
HDMI is the best connection for HD (looks similar to a USB computer plug but larger). The video and audio are carried on the one cable (a digital signal). The plate you have a picture of is of composite video (yellow) and analog left and right audio (red and white plugs). This will not give you HD. If your TV does not have an HDMI port then look at the back of the TV, you should see in a row RED BLUE GREEN WHITE RED. On the back of most HD satellite receivers you will also find these connections. The RED BLUE GREEN is called Component Video and the other RED and WHITE PLUG is ANALOG AUDIO (not surround sound). A recommendation is to find a professional to make these connections, trust me, I was one. Secondly, unless you have a tracking dish, self aiming etc, I would stick to standard satellite TV. To receive DirecTV HD, for example, you have to have a 5 LNB dish (3 white thingies on the arm in front of the dish). Aiming this is very difficult in a portable setup such as a tripod. You have to get the mounting pipe EXACTLY vertical/ Level. Then you have to find the correct azimuth, elevation and tilt. If either one is off just a little bit, you will be searching forever. Like I said, I was a professional installer/ technician of custom audio video equipment on mega yachts, homes and did work on many RVs. I was a KVH factory trained technician. Any questions, feel free to ask. I will help how ever I can.