I've been searching the site on how to apply (or in my case, re-apply to the kinship). I left earlier this year (due to RL responsibilities, not because I didn't like you guys) and would love to come back.
No need to reapply. Former members in good standing are always welcomed back (and I am certainly thrilled to see you back, we missed you around here). Just type /who breakfast in the game to bring up a list of members currently online. If you recognise an officer on the list, send that person a tell. Otherwise, send a tell to any member asking to be put in touch with an officer.
Let the officer know that you are a former member (most should remember you, but we may have one or two who are a bit more recent to the kin) and you will get an invite back in. You should also already have full member privileges here on the website--if that is not the case, please let me know.