Anything so cold that you can feel condensation even on the packaging will sit at home for at least a day.
Do not put it directly next to the heater
Regarding fast temperature changes, a small anecdote: In the winter, when I open the window of my bedroom, where also the computer is located, I always hear sometimes really loud cracking sounds from my monitors. I usually open the window in the early morning, to get up better, so the computer is turned off.
After several years doing this, the sound still makes me wonder, but so far nothing broke.