I haven't had a chance yet to work out the specifics, but I was thinking of the Conduits having memories stored in them kind of like Jedi Holocrons. Instead of detailing that out for every single class, I'm just going to do it for the classes we end up playing at the start of the RP and I'll probably simplify Abilities, Spells, and Proficiencies into a range of similar effects or something. We'll see.
At least for the Wizard's part, I was basically planning on him treating his Conduit (which is probably a Grimoire) like when a Wizard acquires another's spellbook. Except it's also his simultaneously. So, he's learning how to Wizard from it like an accelerated course. Like a normal Wizard, he's got to study it actively and be academic about how he increases in capability, learning about the Weave in a more personal sense and how to tweak it by mathing at the universe so hard it bends over. As Wizards do. XD