jhk

When the engine is cold in the winter, the engine vibrates a lot. As it warms up, the vibration gets less.

Now that it's spring, the vibration is much less than in the winter, however it still vibrates until I've driven 30 minutes or so. Until then, when my foot is off the brake pedal the car vibrates, and then when it's completely or very nearly stopped then the vibrations get much less.

Does this seem like new engine mounts are needed?

Plutoe

Yes it does sound like you have the symptoms of failing or failed motor mounts,however easy to double check when car is on a lift!!

RichardM98

Another simple test -- while waiting at a light with foot on brake shift to neutral. If the vibration diminishes, it may mean motor mounts.