Judging from the pictures, your other 3 pieces of furniture will most likely be fine no matter where you live b/c the types of wood they are made of. However, the console table might be problematic I fear.
Owning interesting accent furniture is like raising rare species of pets - requires additional attention and care. I have seen your house renovation work here. I am certain you have the ability and patience to give the kind of special care your furniture deserves. Worst case scenario, a few cracks here and there is like a wise aging man with wrinkles in the face- signs of wisdom, right? In the furniture's case, it just adds charm, isn't it?
That console table behind your sofa will crack after a year or two or even within a year. If I were you, I would immediately get humidifier. You also need to use lemon oil to polish the furniture every month or so.
I lived in Chicago for 3 years. Long cold harsh dry winter. Used to own a full house of Chinese faux antique furniture. Was a delight in the beginning. But over time....eventually had to get rid of most of them and replace with more modern pieces.