Using a handheld video camera would be too cumbersome and distracting to handle while driving.
I suggested something like this

For sharing, you need to first convert your analogue videos to digital format. If you are good with IT skills, you can install an AV card in your PC and then connect your analogue camera with the PC through RCA cables.
Conversion software comes with these cards, otherwise, you can use AnyVideo Convertor etc. to convert your video to digital format.
You can then upload them on YouTube and then share the 10 minutes clips here. After some time, YouTube will do away with the 10 minute duration and then you can upload longer videos