If they don't taste bitter, there probably isn't enough of the substance there to hurt you.
I have a hard time keeping them cool as well, but I don't have too much of a problem with them sprouting. The refrigerator is cold, not cool. The ideal temperature is in the 50s. That's why people keep them in a root cellar, if they have one.
I keep my potatoes in a basket built in to the peninsula in kitchen. It's fairly dark but room temperature.
You could keep them in a paper bag to keep the light off them.
The trouble with eating Italian food is that five or six days later you're hungry again. ~ George Miller