RE the Eb: As I said before:"... the C fingered Eb chord - Barre the first finger on the third fret, then the other three fingers play as in a three fingered C chord."
You asked: "That barre on the third fret would only have to be across the top three strings, right?"
Wrong! For a full orchestrated Eb you would need to use the complete barre in the 3rd fret. The next three fingers go: finger 2 on second string, 4th fret, finger 3 fourth string, 5th fret, finger 4 on 5th string, 6ht fret.
BUT if you want a different way to play the Eb just slide the D chord up one fret and play only the top three strings. You can add the little finger on the 4th string , 5th fret. That might be good for finger pickers.
But if you want other ways let me know and I will give you others.