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?
Bookstack might be good for you, I use it for a knowledge base at work and it’s excellent for that.
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.
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.
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