Here are the four progressions played. My advice if any is to nail the bass note and just let the rest flow. I haven't tabbed out every note of every chord below, just the ones I hear, but take it from me the chord shapes are as simple as A minor, C and F, just with the emphasis on the bass (root) notes.
--0---0---0---0------------------ Sleep now sleep
--1---1---1---1---1---1---1---0-- And so fade sorrow
--0---0---2---2---2---1---0---0-- Sleep, beloved, sleep
--2---0---2-------3---3---2---0--
--3---2---0-------3---3---3---2--
--------------3---1---1-------3--
--0---0---0---0------------------ You are home, this light
--1---1---1---1---1---1---1---0-- Home of winter
--0---0---2---2---2---2---0---0-- Your home of autumn, summer and spring
--2---0---2------(2)--3---2---0--
--3---2---0-----------3---3---2--
--------------3---2---1-------3--
--0---0---0---0-------------- You are home, this light
--1---1---1---1---1---1---1-- Lasting home
--0---0---2---2---2---2---1-- Eternal home, your eternal home
--2---0---2------(2)--3---3--
--3---2---0-----------3---3--
--------------3---2---1---1--
----------------------------- Sleep of seven lights upon you
--1---1-------1---0---1---1-- Sleep of seven joys
--2---2-------2---0---0---0-- Sleep of seven slumbers on you
--2-------2---3---0---2------ In your hazy poise
--0---2---2---3---2---3---2--
----------0---1---3----------