There are all sorts of issues with "community dishes" but virtually none of them have anything to do with picture quality.
If the dish uses regular DirecTV technology then your problems are likely to be related to connectivity. Each TV needs a separate connection to a multiswitch somewhere.
More likely, if it's an older system, is that the system uses stacking to get the signals from multiple satellites on to a single cable, making it possible to connect multiple receivers. If it's this system, you may need to buy destackers for some of the receivers (some have built-in destacking, some don't) and you will not be able to get any HD channels anyway, only SD.
If it's a newer system (upgraded in the last year or so) , it probably uses the MFH2 system for MDUs (multi-dwelling units). This system uses SWM technology to give access to all the channels including HD and allows connection of multiple receivers to a single cable. You do need to have enough SWM "channels" allocated to you and so there is often a higher connect charge for this type of system than others.
To sort this out you will need to talk to the company (or, as posted, the individual) who is responsible for the system, to find out what the system is and how you can connect to it (and how much it will cost).
