on my main page I would like to have categories (
like here: http://missferreira.pl/
The layout of the blog you attached in your post is the result of a lot of custom work. I'm afraid this amount of work falls outside the support's mandate since it requires essentially rewriting the entire post listing page of the theme.
To get a similar result you would have to hire a developer to carry out these modifications for you.
this is not a good information :(
Do you have any idea how to do it a deferent way?
Unfortunately no. That layout requires a lot of customization. I'm sorry.