Motor for powering a ride on toy car

Hello all, i am new on here and please help me if i am in the wrong place for this question. i am looking for help to design or understand what components i need for a battery powered motor and related components to drive a childs ride on toy car development. for example a similar system to what the plastic childrens toy cars are using or something similar to the likes of toylander toy cars . simply need a backward and forward switch, a fast and slow setting, a foot pedal and motor that is going to work. the build of the car will be wooden.
 
It was pretty successful. You can see it here:
although that was before I upgraded the motor to the one with the link above, which is faster and much more quiet.

The main change I made was to ensure that hooking up the battery backwards does not blow the electronics, you can guess how I learned the value of that...
 
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