As
oldbutnotdead said, if the previous owners had Sky then Freesat is an easy choice, but there are a couple of things to check first before you jump in with both feet.
Unlike regular Freeview -
the service you get from a TV aerial, and that is common on all TV sets - any Satellite-based TV reception equipment (Sky box, Freesat recorder) requires more than one coax cable connection if you wish to record one channel while watching another at the same time. This also goes for recording two channels while you are out where the programmes overlap in time.
The reason for this is that Satellite works differently to terrestrial TV (Freeview). The things we do with a TV aerial feed such as looping/daisy-chaining a connection in to a recorder and then out to a TV just won't work with satellite. For example, if I wanted a Freesat recorder to go with my TV, I would need two coax cables from the dish to the recorder's twin input sockets. The output would then be via HDMI to the TV. The TV wouldn't get any kind of TV signal without the Freesat box being switched on.
It is possible to get a Freesat tuner box. That sort of device requires only one connection from the dish. They don't have the dual-channel-recording, but some do support the
pause live TV features of the full recorders. They they may also record one channel at a time to an external USB hard drive or USB flash drive. The important thing to remember is that with a single connection your recording choice is limited to either the channel you are watching or you put the box in to standby when you're out. Technically there is an exception to this one channel rule, but it only applies where the recorder box has dual tuners and both channels being received come in on the same phase.
The other complication is Sky Q.
Sky Q is the latest version of Sky. The main recorder box still requires two satellite cable connections. However, any further boxes in the house such as the dining room, bedrooms use either wired or wireless network connection to receive a signal. This means it's entirely possible to have a TV on a wall with nothing except a power lead and a HDMI connection and no other wires in to that room and yet still receive a full TV service.
Back to your system...
Have a look at the coax feed(s) you have coming in at floor level. If the cable is fitted with an ordinary aerial plug (and it's not a botch up) then what you probably have is a feed from a TV aerial. The TV coax plug is a push-in connector similar to this
If it's a feed from a satellite dish (and again accepting the possibility of botched-up connections) then it should be a screw-on-type connection similar to this
If you have just one of these satellite cable connections then you might want to reconsider your options.
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