You need more than software.
The 840av — without one of a handful of special AV Mac nubus cards that also connect to the video in slot on the logic board — is pretty useless for true video recording and editing, being better suited to capturing stills, or at best low quality (in resolution/ frame-rate) video rather than real-world video work. A stock machine can record the sort of ultra-low quality video that circulated on CD-ROMS of the 1993-95 era, but not much more.
But with one of those special Nubus cards installed, it can record video at 30 fps (640x480 frames using standard Quicktime compression) in millions of colours (assuming max. vram). The quality is not stellar, as the video is compressed (you can choose between a number of settings, depending on the software used), but it wowed people at the time, as this capability was exceptional in a consumer machine.
The stock machine is frankly far better suited to audio work than video. On the other hand, if all you want is to watch TV using the jacks on the back, Apple Video Player is what you need, and no requirement then for an unobtanium nubus card, either. The machine does an excellent job of it, too.
The more impressive thing about these machines is something else altogether. E.g., an 840av will let you watch TV while running other jobs on the 68040, with very little performance hit, as the 840av is a genuine multiprocessing machine and the MacOS on an 840av is multiprocessor aware. Similarly, it will answer the phone using a GeoPort Telecom adapter and the supplied telephony apps. of the time by using the DSP, while doing other things via the 68040, and so will not cough at being asked to do two things at once, even when these are (like telephony) processor-intensive tasks. (Ask it to do three things, mind you, and you may have a problem.... I don't know if the OS-within-the-MacOS that runs the DSP is multi-threaded etc. or not.)
I gather too that there are some interesting video tricks that they can accomplish, but this is not something I have tried. I have recorded video on an 840av, though — but then I have one of those aforementioned nubus cards manufactured specifically for the AV Quadras.