To add to the cuff movements, technique improvement and band work, I found stretching prior to lifting helped. I'm lifting heavier than last year and went from stinging feeling/tightness to none.
I do externals like this
https://exrx.net/Stretches/Subscapularis/Broomstick
internals
https://exrx.net/Stretches/Infraspinatus/Broomstick
I do some more tricky ones that I can't guarantee are for everyone but I did get them from a physio, sit down and have arms forward, to stretch right shoulder - place right elbow (underside) on top of left elbow, reach with right arm towards back to pull your right arm to the left, then rotate forearm clockwise and hold both hands together, then use left arm to help pull forearm clockwise. if you can do this you have good flexibility! (though being too flexible can be an issue too)
for internals, e.g. right arm, sit down lean forward, right hand on right hip, rotate right arm counterclockwise and place right elbow inside right knee