So, if me and my partner (co-signer) both have our private keys, from this point what exactly would we need to do to recover said crypto?
As I got it you want to recover 2-of-2 multisig.
In Guarda press Multisig button and paste your xpub key into Your public key field, then press Create multisig and in the followng sub-window add xpub of your friend, then press Publish.
Or, if don't have xpub of your friend, you may send yours to him to proceed.