Long story: My Mom was on a tv show (antiques road show) and I recorded in my TimeWarner Cable DVR, now I want to take i out of the DVR and make it into a DVD for my grandmother that lives in another state.

My DVR is a Motorola. On the front it has a HDMI label, it also reads interactive digital communications and it has the model (?) DCT3416 i

bellow that it reads "dual tuner dvr / hdtv capable." 

I looked under the box and it has a sticker where I found this model number:
Set top box-model
DCT3416 - 2300
Platform ID 704 phase 1.

How can I transfer this show to my PC? 

Any help or guidance you can provide will be greatly appreciated