Most convenient for me: Enable ssh on the phone, then from a linux machine connect to the phone via Nautilus/Nemo (File/Connect to Server). On Nautilus/Nemo: View/Extra Pane -> copy files via Drag an Drop.
@msiedlaczek strangely my audio didn't work until I plugged in headphones, but once I unplugged them the speakers are playing audio just fine, and then stopped again after I paused my video to type this