I use KRename for renaming multiple files.

you can try rename: https://www.man7.org/linux/man-pages/man1/rename.1.html

or
rename 's/expression/replacement/' filename

select range of episodes per season then add season number (eg S01) in replacement string.

then restart numbering for next set of episodes (eg 01 to 12) and add S02. and so on. more tedious than the gui Rename method but doable.

You can take a look at "sonarr", it's made for managing your tv-shows and it can automatic rename and organize your files, with customizable naming schem.

krenamer can do this. It just is a regex front end. You could do it with a shell script too.

There are various GUI tools (eg., gprename, krename) but I prefer qmv, a CLI tool from the renameutils package. It opens filenames into a vim (or your default editor) session, with which you can use global regex search/replace commands to rename files.

how can you identify season from the file name?

Why not just do this with a for loop in the terminal? I don’t think you need to over complicate it by downloading another program.

Dolphin has that ability built in. If you use it, highlight all of the episodes and press f2. Pretty self explanatory from there.

There must be a million utilities to do this (try searching "linux mass rename"), including ones that allow you to rename media files based on their metadata... each works in different ways, so you'll have to look yourself for one that fits you (personally, I like the ones who open a text editor with the file names and you just edit them).

If you use KDE (DK about other environments) and only need a progressive counter, the simplest way is just select the files in dolphin, hit F2 and enter a pattern like "Tv Show Episode S01E##.mp4".

(of course you can also write a script to rename the files, but I guess you wouldn't have asked if you were prepared to do so)

Please don't use spaces in your *nix filenames, that is just bad. To answer your question, use a bash script. Chatgpt can probably even make it for you if you don't know how to write it.

This can be done natively in Thunar if you happen to use XFCE.

or if you are comfortable with command line and some replacement shenanigans, there is always mmv

Would the tvnamer utility help?

I use nomino for this purpose.

If the names don't have any break for seasons, or the name of the episode, I think it's going to take a couple steps. Renaming is easy, but you're adding info that's not in the name. I can only suggest trying something like tvnamer, or search for a similar project.

In zsh you can use zmv for this. Another command line solution is find but it's a bit harder to figure out the correct command in my experience.