95 Corolla vibration

Got a problem that I could use some help with.
I have a 95 Corolla, 4-cyl, automatic, 125k miles.
My problem is when I first start the car in cold weather. For the
first 5 minutes the engine has a vibration (enough to rattle the dash)
that goes away as the car warms up. The colder the outside temperature
the worse the vibration is.
Once warm the car runs smooth. This is at idle and in park. Never a
check engine light.
Replaced wires, plugs, cap, all motor mounts, and injector cleaner.
Anyone have any suggestions?
TIA