Best is to leave your current Channels DVR running on your laptop while you get used to it on the new NAS.
Setup the new NAS and make some sacrificial recordings (just to test). Yes, you can run Channels DVR on both, just don't try to record from both at the same time using an HDHR tuner or you'll run out of tuners.
When you're comfortable with it running on your new NAS, then you can migrate (copy) everything (settings, channel lineups, recordings, etc.) from your current laptop setup to the new NAS and restore it there. At that point you can retire the laptop, but don't have to,
Don't rush into it. Peace of mind.