tape it or ...

[jibou]

Dear teachers,

"I'll just tape it and watch it later tonight."

Suppose if you're recording a TV program on a video tape, then I think the above statement makes sense, but if it's DVD or HDD that you're recording on, how would you normally say to mean the same as above.

Can you still say like:

I'll just tape it on DVD and watch it later tonight.
I'll just tape it on HDD and watch it later tonight.

Or. would you use something different?

Thank you.

[Anglika]

I really want to see that. I'll record it and watch it later.