I'm north of you, and have the same challenge, when it comes to humidity
I think it depends on where you are with your woodworking. If my shop gets
out of control, with higher or lower humidity levels that are workable, then
I'll take precautions, during certain stages of a project.
In a situation where I can't control humidity levels in the shop, and I'm
down to final hand planing/scraping and dry run, I'll store the components
of a project in a stable, similiar environment, to where the project will
end up living.
If this means storing components for a project in a spare bedroom in the
house, becase it's the closest match of environment, and carrying them back
and forth daily, so be it.
Try to design your jointery, to hide most natural, minor, seasonal wood
movement, the last thing you want on a fine piece is a glueline, minute gap
or a noticable component offset due to swelling/shrinkage. Using small
offsets between components in your design, adds detail to your work, and
allows for seasonal movement (eg: setting back an apron a 1/16-1/8 from a
leg face on a table, adds detail, but also allows for some un-noticable
movement, compared to having a flush apron and leg joint, where either the
leg or apron moves more than the other, not equally at all corners, and
becomes very noticable).
I guess the bottom line is, the closer the humidty level of you storage/shop
to the final resting area of you project, the better. If you can't control
environment, engineer the jointery/design for calculated seasonal movement.
Cheers and good luck,