My soles and toenails are peeling.

My soles and toenails are cold and so blue that they look almost black... I usually wear socks, so I don't notice it during the day, but after I wash up in the evening, I see it. So I wonder if it's because the house is dirty, but even after mopping with a wet cloth, it looks the same when I turn around.

I am in my 50s and experiencing menopausal symptoms. Is it because of menopause? My knees and above feel hot, while below my ankles feel relatively cold. It's an extreme difference, but I don't have any other specific illnesses, so I just deal with the coldness. Why is this happening? Should I go to the hospital?