I'm sort of a mix. So far I've been making characters that have fit "me" as if "I" were in the game. My character's back story starts all the way back to when i was 13-ish with Morrowind, my skyrim character is a RedGuard (because I'm black, he has dreads because I have dreads) who is a descendant from my Oblivion - who is descended from my morrowind character
I wrote an entire story about it for a class assignment, just cant remember where I put the file.
Based on that I focus on all schools - mainly Warrior, but I say he retained skills both in archery and magic from his ancestors
(morrowwing was a Warrior Ranger, and Oblivion was a Warrior Mage).