When the note is open you will see the notebook's name and any tags listed just below the note's title. Tap on the notebook name and the list of all your notebooks will pop up for your selection. Tap the more… item to add/edit tags, delete the note, or add/change the location. Hide Details to make it go away.
You also get favorite, To-Do, and Trash options when you slide a note to the left in the note's list. Too bad they didn't include tag and notebook moving there as well.
The app is actually a bit more powerful than the old one, but it takes some getting used to.