Your TV should record if you have a few USB sockets. Our Samsung does, but we never use it. Nor the ‘once’ expensive PVR.
Normal Freeview, then Netflix, Disney and Prime for everything else. Use the freeview apps to catch up.
If you’ve got a TV with the Freeview+ App, you can actually pause TV, or go back a little. Our Toshiba does that, but won’t do Prime – only does Netflix.
The older Samsung doesn’t have the freeview app, but you just have to go into the station’s app to watch a programme that’s just aired – it’s usually on very soon after live TV.