I would like to have an home library which i can access from all my devices.
Synching notes, bookmarks and highlits, it has to be accessible from android as well, i tried with nextcloud but doesn’t work very well.
Is Calibre good for that? How can i access those books and datas from my phone?
Calibre Server with Calibre Web. Works beautifully and you can configure it with Kindle devices so when a user finds a book they want to read they can click this icon that looks like a paper airplane and it sends it to their kindle
What are your devices? If you have Apple only, Books already does everything you need, and you need no self-hosting.
I use Kavita (https://www.kavitareader.com/) I did use Calibre but Kavita seemed easier for my wife to use.
Bookstack might be good for you, I use it for a knowledge base at work and it’s excellent for that.
Memos, Benotes and BookStack come to mind. Note taking and Bookmarks and link sharing by the wonderful people at awesome-selfhosted might help you find exactly what you need.