Yes.
But like I said, instead of using two PSU's (they're not transformers...), just use appropriately heavy wires and keep them as short as feasible.
Yeah. That's where the 7414 would come in.
If you're going to get those 7414 chips you linked to earlier, then yes, you'll need some sort of PCB. It's not easy to suspend those chips in the air with wires soldered onto the leads. They're pretty small as well.