ok so here is the deal. If you ever don't know what to do and need something to do this is what you should technically be doing by the orders of me the General of the Gotei 13.
Primary Duties/Missions:
Group 1: Squads 9 and 10-Travel to Karakura town to bring back the most elite Quincy as well as gain the allies of the superhumans.
Group 2: Squads 2,7,8 and 11-Sneak into the old Division Quarters and Sereitei and report back to the Captain Commander all information gained on the arrancar residing there.
Group 3: Squads 5,6 and 13-Patrol the Rukongai and Karakura town that belongs to the Shinigami and make sure no arrancar come near. If so kill them.
Group 4: Squad 4-Man the hospital and treat injured shinigami. Stay as close as you can to group 3 and probably send out 1 member with group 1 and 2.
Group 5: Squad 12-work on creating the Bounto again and reviving them as well as researching the Espada and Arrancar for weakness's
Group 6: Squad 3- Sneak into the Sereitei and spy on the los tres Reyes. Abandon when need be.