This song Der Mond ist aufgegangen is on track number 1. And you can buy guitar tabs and the MP3's of these 10 lullaby songs in Ulli's webshop if you like on http://www.boegershausen.com
I played this a bit and you can see that Ulli here have the capo on the 4th fret. This song is in Drop D Tuning. My crude explanation is you start out in "C something" move on to the G chord down to "A minor looking like the C something.. Spread out the A into C..". And then back to C.
Did you get that? LOL. That's my crude explanation, how a great online guitar teacher I am. You obviously would need to know some fingerstyle before you try this one anyways.
Anyhow if you already know how to play Ulli's arrangement of Mad World by Roland Orzabal. You can watch Ulli play that here Ulli Boegershausen - Mad World ( comp. by Roland Orzabal) then you should not have any problem with this one because both songs share much of the same chords.
Ulli is here playing on his Lakewood acoustic guitar and it does not look like it's an acoustic electric guitar either. But still this acoustic guitar sounds great, but it's probably mostly Ulli.