Synthetic is great oil. I know a guy that works for Mobile and he told me all about how much better synthetic lubes than regular oil.
Yours I take it is an automatic. So once in gear there is more load on the engine than when idling in park. So you probably need a little higher idle than you currently have.
Just FYI, oil pressure comes from main bearings (and rod bearings) clearance between the bearing surface and the crankshaft. If the clearance is too large (poor machining) or becomes excessive (from wear) between the crank and the bearing surface then the oil pressure will drop. Starting is the hardest thing for an engine due to the fact the bearings can be a little starved for oil when the crank first starts to turn. That is when you can get potential bearing wear. But also crazy reving of the engine can starve a bearing of oil and potentially cause damage.
Anyway, If you know your oil filter is not clogged and your oil pump is doing its job, and the engine is at the correct idle speed, then bearing clearance is the next suspect for low oil pressure. Once an engine warms, then the metal has expanded in there and so the clearances will be at their max, so that is why once warm the engine oil pressure might drop lower than when cold. The clearances we are talking are like the thickness of a human hair. That is the gap the oil film fills between the crankshaft and bearing surface.
You can always plasti-guage the bearings to tell where they are at in clearance. I've done that to engines I was rebuilding, say, installing a crank kit and you want to know what you got. A little tedious (time consuming), but when done you know how good your crank kit was.
I've also used plastigauge with my rifles to check the headspacing. At least on my old Enfields it works rather well to make sure the headspace is not too large.
http://www.plastigaugeusa.com/how.html