I have a question about playing and storing my guitar in a garage.

I have the guitar in the garage, sitting on a stand, play it usually once a day all year round. Moved in to new house, I live London, at the start of summer so didnt think about the cold autumn and winter till now.

Should move the guitar out of the garage during the cold months? I dont have a hard case(I have soft cushioned one), should I think about getting a hard case?

Should I store the guitar in the house all the time?