Before engaging transmission and moving car let it warm up so that thermostat has opened and temperature needle has risen to first mark.

Here are a few Maybes:
At cold startup does the RPMs drop from 1200 to 750~800 after 45 seconds?
Do not move car until auxiliary air pump has stopped running.
Turn traction control off.
Sticky/dirty throttle valve
Sticky/dirty EGR valve
Accelerator pedal

The cars are twenty years old; Most of us get a little cranky with age.
Good Luck.