I think containers on deck would freeze solid during the winter, not to mention get freeze-dried, and the roots won't survive. Once the leaves die down from the frost, I imagine it would be best to put the containers in a sheltered location where they would occasionally get watered naturally, will NOT sit soaking in melt-off or wet, and is sufficiently protected. Perhaps UNDER the deck or against the foundation of the house (South or West exposure?), covered in leaves, straw, and/or mulch. Another option is to bury the containers to their rims.
Here in Zone 6b, I mulch the strawberries in planted in the ground with fall leaves and straw, about 4~6" thick, after the leaves are dead or the ground freezes. If they are still pretty thick by early March, I start removing the excess mulch.
I have never successfully overwintered live strawberry plants indoors, but if you mean to bring them inside after they have gone dormant, I've heard but have not tried keeping them in places like unheated garage or porch. You'll have to water them occasionally then, and put them back outside... probably around mid~late-March.