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Hard part is going to be finding a good, low cost lithium battery with a battery management system, if you want to skip the battery management system then you might as well go with lead acid.
As I see it, you don't have the area on a motorcycle to have a surplus, unless you were to go with a 3 wheeled design or build a trailer, even on a car it's hard to build enough non window area that points at the sun to do much good, but if you are planing to teach people about implementing renewable energy in to their life this should already be 100% clear to you.
If you build a trailer, then you have more space for storage batteries as well and if you are going for low cost then maybe lead acid is the way to go, of course in the long run lithium costs less and when on a vehicle lithium for sure costs less.
I'd be temped to run a 24v system with a step down converter to run your lights and to run the electrical system on the motorcycle because that opens up a lot of options for lithium batteries.
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