If you have the space then go for it, the cooler the better as long as it's not freezing temps.
I would let them sit for 10-14 days at around 20 degrees before moving to a low temperature. You want to give the yeast time to find all the sugars and remove all the guff. After that you want to get the temperature down to allow the beer to absorb the newly created CO2, which will in turn give more compact CO2 bubbles etc. Having the beer in the fridge will mean that the solids will drop fairly rapidly and the beer will get a head start on maturing.
The trouble is you ideally need to leave it for a couple of months. If you have the fridge space or a dedicated fridge then I would go for it. I have a dedicated fridge in my garage which I have on as low a setting as I can get it on. This means that it's a nice low temperature but doesn't use a lot of energy to run :)