Definitely get a professional bike fit. Very high tech these days, with front and side video, and a sensor pad on the saddle. Costly, but if you can find a physio who does it you'll get something back from your health fund.
Basically, just constantly change your position. Normally hands are on the hoods with the thumb/forefinger joint just behind the hood. The hand can be moved back several cm - lots of positions there, and forward so that firstly the base of the thumb and forefinger are on the hood, then the palm. Then you have the drops, and the central handlebar with several options depending on how much junk (light, bell, phone, garmin) you have on your cockpit. Finally there are the pros positions - elbows on the bars, hands waving at the camera, or hands free - best with arms raised in victory salute as this helps to ease the stress in your shoulders.
They do bike fit at Melbourne Bicycles, though don't think it's as hi-tech as that mentioned above.