I doubt you have a problem, at least on the car the fluctuates. My 72 LT-1 does exactly the same thing (and so do many other people's cars -- search for this subject):
When I start up, the pressure is 70 and stays that way 'till the car gets warmish -- especially if the choke is on. Afterwards it drops to 20-30 at idle, and higher depending on my acceleration; it goes back up to 70 if I floor it. When the car is hot (but never above 210), the pressure still fluctuates with acceleration, but the range has shifted down: e.g. 20-60 or so. I've been told that oil pressure drops as the oil warms up.