It's totally normal for tons of Tetramorium workers to be out foraging at all times. I definitely recommend hibernating them for your own sanity, but they don't necessarily need it.
Cleaning gets tricky with little ants that like to hang out chewing on the insides of old feeder insects. Definitely tap and shake anything before you try picking it up. A feather comes in handy for brushing them off stuff. I also highly recommend making or buying an aspirator to quickly suck up any ants that run out of trash you collect. I can't imagine keeping ants now without an aspirator. With an aspirator, you can drop old trash in another container, then suck up the ants when they run out of it. This is the only way I can clean my huge colonies now.
"The ants are a people not strong, yet they prepare their meat in the summer." Prov. 30:25
Keep ordinary ants in extraordinary ways.