Electrolysis: Getting hydrogen.

So, me and a friend are working on something, but I need some input from random people on this forum.
We have two 99.99% pure carbon electrodes, a lot of 22 ga. insulated copper wire, and a shit ton of other parts. What we're aiming to do is build a device to generate electricity and then use said electricity to get hydrogen and oxygen from water. Anyone have ideas on ways they would/could put a device like this together? Just some basic ideas for the generator, the actual electrolysis device, and ways to store the gases.

Note: Hydrogen can't be stored in metal, as most metals are porous to hydrogen and it would leak out.
Note 2: Hydrogen and oxygen cannot be stored together under pressure, as they may recombine rapidly and cause an explosion.

My idea(very basic):
Generator -> power supply circuit(cuts down current to a steady/predictable amount) -> electrolysis device -> gas storage -> ?? -> profit

If you're curious, no, we are not making any kind of explosive. There are A LOT of uses for hydrogen and oxygen.

Edit: For the power supply, if one is made coming from an AC source(such as a wall outlet 110/120v) then the volltage will have to go through a step-down transformer, then to a rectifier circuit, then a step-up transformer and possibly another rectifier). If anyone knows about inductance, please advise me. Lol.

@Paroxysm could probably give a few good tips, imo the whole thing is bound to kinda be a disappointment unless your expectations aren't that great (no, a simple diy project won't have anywhere near decent yields). As far as the actual cell goes, I would opt for the "traditional" mutli-plate one, you can probably find a shitfuckton of diy guides online. Storage shouldn't be an issue, if you can just force it into a high pressure tank