WordNet sense 1 (exert oneself continuously, vigorously, or obtrusively to gain an end or engage in a crusade for a certain cause or person; be an advocate for):

campaign, crusade, fight, press, push

WordNet sense 2 (try to stir up public opinion):

foment, stir up

WordNet sense 3 (move very slightly):

budge, shift, stir

WordNet sense 4 (move or cause to move back and forth):

shake

WordNet sense 5 (cause to be agitated, excited, or roused):

charge, excite, rouse, commove, turn on, charge up

WordNet sense 6 (change the arrangement or position of):

disturb, vex, shake up, raise up