I'm the opposite. I find it particularly inconvenient not having discs to simply pop on a player.
I use a couple of streaming services but those really are just a video on demand channel.
I have a few mp3's here and there, lol many on dvd-r but finding those when they are scattered about then writing to a spare flash drive just to stick in the player to watch is just a bit inconvenient.
Use a hdd? Well I could if I had the time to collect everything together and find a hdd and a caddy but I simply cba.
Basically the primary source for video and audio in my hoard is off optical media itself. And I'm adding more and more, so will be getting a couple of Billy shelves in the new year.
Over a network.
Not WiFi though!
You could hook a single network cable between them. Give each machine an IP address, share the folder that you are copying to or copying from (your choice) and drag the files over. Or you could use RoboCopy to potentially do it faster.
Or just get a 2tb usb external drive and use that, it could be slower or perhaps faster than the network option depending on many factors but also more expensive as you have to buy the drive!