I'd absolutely plant your Cannas in the ground, somewhere sunny where you can give them lots of water. They need to grow new rhizomes and put up new stems to bloom next season, and the pots won't be big enough for that. There's no such thing as too much rain for Cannas. They can grow in ponds.
The Callas can be potted up and kept just slightly moist, somewhere cool. Bring them out when you're ready to let them start up in spring.
I think the lilies can also be planted in the ground where you live, but it's so long since I grew lilies, I'm not too sure on those.