I’m not adequate person to say what you can do to start well.
I start on piano chosen any music sheet, with professor agreed. Play it slow, slow (you play drum, you know that). Same time studies this music, I studies how read a sheet music. I study the harmony of this music, scales, chords, progressions... Parting of my first music I begin studies a lot of things. Take what study in music – I thinkin what the progress what do here? After know. my curiosity impulsion to another progression styles. When I finish read and memorize I read a lot of things, but not memorize that news. When finish study the scales of piece I work in new scales… (understand?)
Work with me, but a lot of friend play a lot of pieces. I have a small repertoire, but have deep know about much of things. Mine friends have a biggest number of pieces to play.
I’m not here to suggest you. Just talk what work fine with my life style. Find your and wait rest of people say what is good for begin.

i'm not much good on english, sry. any confusion...
edit: Of course, maybe you want know how sit and use your body to play. But how you is drum player I think you know how this is important.