Because I have some problems myself to run this on linux, here is my know-how if someone need it:

1. Download ToP :)
2. Get yourself a Firefox (it has been told me that in Chrome this does not work, but it maybe does, dunno).
3. Open "about:config" in a firefox. Search for "privacy.file_unique_origin" and change it to "false" (by double click). This will allow game to load its resources.
4. Navigate to "Town of Passion*/www" and open "index.html" in firefox. That's it :D And you can play any rpg maker mv game this way.

Only problem is that this method uses cookies to save your progress (save directory in www is ignored) so it is hard to get your savefiles from another pc and it may not work with strong cookie policy (But for me it's working just fine).

Have a nice day.

Only way how to transfer saves from older version to new is to copy new version inside of old version, rewrite all files, and do not change the folder name. So when you load new index.html it will use old saves. Hope this helps even if its not much convenient.

I don't understand the last step, like, can you detail it more, how do I navigate to "Town of Passion*/www" ?

There is also this project https://github.com/bakustarver/rpgmakermlinux-cicpoffs