2009 Corolla has shuttering-vibration after car warms up - doesn't do it when the car is cold

#1
Good morning, I have a great running 2009 Corolla ( most of the time), lately after when it warms up, there is slight shuttering or vibration noise that can be felt when taking off from a dead stop. The heat shields are good, any thoughts on where to check and try to diagnose this concern? this car has 148'000 miles on it.
Thanks
 
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