With no direction in my first year, I got rid of the bees by shaking off the honey frames and setting them in an empty super (that I kept covered).
In my second year, I discovered Bee Quick and a fume board, and I never went back. Holy fishsticks save yourself the time, effort, and sweat. Put the board on and then go and do something with another hive, prepare equipment, sit in your car with the fan or A/C on, whatever it is you want to do; less than 10 minutes come back and just take the whole darn super off, easy as you please. Honestly, I can't think of why anyone would prefer not to do this aside from sheer obstinance (which there's certainly plenty of amongst us, mind). The concern about chemicals getting into the honey doesn't ring true to me; it seems to me that someone would have to be using way too much of the stuff and letting it sit on the hive way too long for fumes soaking through the caps and into the honey to be a problem.
I won't recommend "Bee Quick" specifically as there's probably a number of chemicals out there that will do the trick and Bee Quick just happens to be the only one I've tried; but it does work. I've never smelled Bee Go but I have heard...unpleasant things...about the smell, so I avoided it. Guys, if the smell of Bee Go is what put you off fume boards...way back when Bee Go was the only thing that was around...I highly suggest giving the new chemicals a try. Bee Quick smells downright good.