I don't think small fluctuations are as important as what the average temp in your basement is. 62-67 is probably ideal for most. If your basement is much warmer and you want to go the chamber route, your beer will definately improve. Sounds like you already have the fridge, so it may be a no-brainer. Also make sure that you cool the wort to that temp before pitching, don't pitch in the high 70's or 80's and let it cool.
Your wife is cool. Mine said 'Let's give ourselves a kegerator for Christmas', so she is also cool.