You cannot display a Freeview channel and a Freesat channel let alone record them both using one device, unless it is on a new IDTV, some Panasonic
ones have both tuners inside them and a few other makes like Samsung for example but these are very rare, there are no recorders currently that do both,
so you would need both types a Freeview SD/HD Recorder and a Freesat PVR underneath the TV, you can use the Freesat box for the Sky FTA channels,
like Sky News but that is about it unless you want to swap the Freesat PVR for a new Sky+/Sky HD+ box that is, you maybe able to record the Free To Air channels
just using the box and the Viewing Card, but this is not guaranteed
Unless someone makes such model of STB then we are stuck to having two devices instead of one, which means money to the STB Makers