Dan, if as you say you get a player with a HDMI output and a projector with a HDMI input you'll want a HDMI/HDMI cable to connect them. For the length that you mention it'd be a good idea to use the thicker, lower loss 24ga cable rather than the 28ga or 30ga cables also available. This is available for a reaonable price
here for example and there's no need to spend hundreds of dollars on HDMI cables. For the DVI output of the satellite tuner to the HDMI input of the projector you'd want a DVI/HDMI cable which is available for a similar price.
