I have smooth, fine nosed forceps which allow a good grip on the fly, but with barbless hooks, a slight prod with the foreceps tends to have the fly drop out anyway.
Certainly, very often as soon as the pressue is off the hook hold, the fly just falls out. I had 3 'bows unhook themselves in the net at Glen of Rothes last time I was up. Clever fish!
Having said that, small flies, 20's and 18's can be more difficult to remove than bigger hooks, they seem to dig in more.