The way I got familiar with car chassis work was by looking at the ones available in free models. There are some old, simple ones and some newer, very complex ones.
I was able to crate a simple chassis with contrasts by starting from something like this. You may need to know some scripting though.
Not sure how familar you are with constraints, start by learning about the hinge constraint (use it as a motor). Once you can get a simple 2-part motor working in your game, start changing the properties with a script. Then you can add 4 of them to a part and make a basic car. Trigger the rotations with vehicle seat throttle changes.