Speedometer needle vibrates as I get moving?

Hello,

It sounds like you have a faulty vehicle speed sensor (VSS).
The VSS is located under right front of the engine (see picture below).

The VSS goes into the transmission, it send the transmission rotation data to the ECM and in turn the ECM interprets the signal and provides that information as the output on the gauge.
Over time the speed sensor can go bad. It can become loose or have corroded wires.

Here is a helpful video :

https://youtu.be/f3bETtCIdxM

I have attached the diagrams for your reference.

Please let me know of any questions.

Thank you.