HandBrake on Linux

Good news: HandBrake runs on Linux. It's the same app you use on Windows, and TuxPick installs it for you from Flathub.

HandBrake

Also on Windows

Converts video files into common formats and makes them smaller.

Installs from Flathub.

Press the install button above. TuxPick opens with the app already ticked. Add anything else you need.
Download the installer file.
Open a terminal with Ctrl Alt T, run the one line TuxPick shows you, and type your password when asked.

It works on Ubuntu 22.04 and 24.04, and on systems built on them like Zorin OS and Pop!_OS.