Try to start with quests where you join a group in combat; one such quest will earn you Lydia, your own personal follower appointed to you by the Jarl of Whiterun. It is a token of thanks for permanently slaying a dragon, and by "permanent" I mean absorbing its soul so that it can never be revived.
Yes, that is in fact what is happening-- dead dragons are being brought back to life. Lydia can carry your stuff too.
Necromancy is clearly no longer banned. Acquire the "raise zombie" spell-- very useful. Re-animate a bandit corpse while your companion distracts the others to level the playing field.
Edit: Sometimes different creatures attack each other. I just saw a pack of wolves attack some sort of ghost (it looked really bizarre, like part skeleton-- like a floating spinal cord with a ghostly aura).
And, you might run into random skooma/moonsugar dealers in the middle of nowhere.




