My experience with setting aside a bunch of exposed film for 10 years at room temperature before developing it is that you'll get higher quality results from 10 year ago exposed film than from 10 year expired film that you just shot. The exception is Pan F.
I send all my slide film to a lab in one go at the end of my shooting season in October. I start shooting in April so some of the film would sit for 7 months. I store it all in a fridge, never had an issue.
Yes, lids on the tubs, never used dessicants - no room in the tubs anyway. I ensure the films are in tubs for a while before they go into the fridge, maybe a day or so...