Synonyms for Stagger (same or very similar meaning)
WordNet sense 1 (walk with great difficulty):
flounderWordNet sense 2 (walk as if unable to control one's movements):
careen, keel, lurch, reel, swagWordNet sense 3 (to arrange in a systematic order):
distributeWordNet sense 4 (an unsteady uneven gait):
stumbleFrom the ODE community, based on WordNetadd/edit