i don't play 32 teams. instead, i control 12 teams during the offseason. i re-sign the right players for them, deal with FA for them and draft for them. i like to keep a good 12 teams very strong. usually, the AI will keep two other strong, although these will rotate.
the teams i pick can change but i tend to go with odd schemes (TB, PHI) and teams with top QB (GB, SEA). if a top QB retires, i may drop them from the list a manage.