Welcome to the World of IPTV. I was like you back in Feb of this year on the "DVR" thing. You really have to think outside the box on this. For a "DVR" I would suggest using Kodi-addons for shows or APK's like Terrarium or Freeflixhq.

Vaders has what your looking for. PM me for a trial if intrested.

i think best thing for you is vader,i havent see any VOD and TV catchup better than VADER

Vader for catchup and live channels. Express / Gold or Kodi as other mentioned for video on Demand. PM me if you want Express.

So nobody is going to mention gears reloaded? They have catchup on all of their channels for up to 24 hours.