Help with maintaining statues

[Xmo]

I need a noob 101 in maintaining statues. I only have Assassins Creed Statues which is out of their box and displayed behind an acrylic window. Now it does not get hit by sunlight but winter is coming and since I have a makeshift room, I am in the middle between our backyard and living room. so it does get cold in my room maybe 12c or about 45-50f temperatures in about 2-3 months. Now don't worry about me but I'm used to it, its my statues first time and should I worry about discoloration, cracking, and disfigurement etc. I'm pretty worried about it, and what should is reconmended to preserve the figures?