You cant really experience the "Full" flavor of each playstyle with one character,
Im running a Duel weilding weaponmaster redguard, supporter of the stormcloaks and fighting for skyrims future. She is taking the "expert warrior" approach and thus steering away from magic and stealth.
Then il be running a Duel weilding, illusion /alteration magic, stealth Bosmer assasin, fighting for himself, side supporting the imperials, member of the thieves/Dark brotherhood
and finally, Argonian mage, here to study skyrims history, no allegiance but depending on what happens as i traverse the land i may sway towards one or the other, member of the college of winterholm. Dungeon delving for forgotten secrets instead of wealth.