I also switched to OneNote recently for much of the same reasons.
There are some quirks to feel out but so far it's coming along.
Keep in mind that each Evernote section/book/folder becomes an entire OneNote notebook. OneNote does not automatically show all notebooks so the feel of it won't be the same as Evernote. You don't see everything all at once, you only see the current notebook you have open.
For example in EN you see a tree-list on the left of all your sections. In ON each section is now a separate notebook, which is physically just a file on OneDrive. You can't see them all at once, you have to open one notebook at a time.
That said, I used the MS tool to convert EN and it worked fine, but now I'm actually having to combine notebooks together because I don't want like 150 different notebooks!
In EN one section contains a bunch of note cards. In ON you get an extra set of sections, the notebook has tabs for sections and then pages within each tab. I'm having to re-organize my notebooks to combine them where they could just be tabs within the same notebook, then pages within the tabs.
As for sharing, you can share the entire notebook right now but that's it. MS will have the feature to be able to share individual tabs as well as individual pages very soon. They've had a feature release just in recent weeks preparing for this sharing ability.
As an example I have one notebook for a certain type of client. All my tabs are actually just alphabet so "A, B, C, D, E, etc) then within each letter I'll put individuals' pages (with sub-pages!) for each client.
CLIENT
--> G
--> --> Bill Gates
--> --> --> Subpages (info1, todo, info2, invoices, etc)
As of now I could only share the whole "CLIENT" notebook, but very soon I'll be able to share just the info2 page directly with Bill, or the entire Bill Gates page with subpages.
So far OneNote is working fine on all devices (Windows, Android, iPad) but I'm having to do a lot or re-organizing of notes into the different way ON stores them. However, some notebooks completely fail to open in the web interface, I'm hoping this will be fixed after I reorganize my notebooks.
Also, you don't need Office to get ON, it can be used as a standalone app.