I slowly started moving them out the closet to this mic booth
He took his skeletons from his closet and brought ‘em to the mic booth.
Meaning that he took his insecurities, issues, problems, etc. and let everything out on his rap songs.
To help improve the meaning of these lyrics, visit “Skeletons” by Joe Budden (Ft. Crooked I, Joell Ortiz & Kaydence) Lyrics and leave a comment on the lyrics box