Front Suspension

Ball joints and outer tie rod ends are real common failure items. Unless you know how to check them, it's best to have an inspection at a tire and alignment shop. They typically don't cause low speed vibrations though. If the vibration started right after the transmission work was done, it is possible the engine is sitting in a slightly different position than before. That will set the locations of the two inner cv joints' rollers in a slightly different spot within their housings. If the tiniest amount of wear has taken place in those housings, the rollers will bind as they go through their angle and length changes during each rotation. Under load, that will cause them to push on the spindles and steering linkage, and you'll feel that in the steering wheel. That can happen even if the engine has not shifted position.

That is typical of worn inner cv joint housings. At higher speeds there is less torque on the joints so the rollers are free to move over the worn spots. The symptom is usually a shaking steering wheel when accelerating from 5 -35 mph, and often gets worse when turning, such as when leaving a parking lot and accelerating onto the road.