just alternate pick it all. thats what i would do. you really want to get your alternate picking very good. things like econimy pickking and sweeping only work well in my opinion if they are built on a strong alt picking base.

you should only ever need to sweep somethin if it has three or more notes on different strings in a row tat are next to each other.


like


---2----
--4-----
-3------
--------
--------
--------


and even then you can get away with alternating three strings i find.

more than three is pretty tricky.


edit ; didnt notice the three string sweeps , you could swwep those, its up to you. i would streess get your alt pickin good before you explore with sweeping and stuff.