Temperature affects on paint storage?

I have a question I'm hoping someone can help me out with. My bench and storage space is somewhat limited at the moment. To give myself some more room I'm considering rearranging some stuff in the laundry room and moving my setup in there. Only thing I'm uncertain about is that the room is unfinished and is not heated or air conditioned, so it gets a little cold in the winter and a little warm and humid in the summer. The temperatures aren't extreme but if the weather outside is cold or hot enough it can be a little uncomfortable. And I figure I can just use a fan or a small heater when I'm actually in there. So my question is will the uncontrolled environment adversely affect my paints and other supplies. I don't want to move everything in there if it's just going to end up getting ruined.