Are you more into the historic old area, then go for the eastern part of the city, just north of downtown.
Keep in mind both what neighborhood flavor you want to experience as well as what kind of what type of place you want to live, and what kind of lifestyle you desire.
Start out by narrowing down the parts of town where you want to live. Go visit them in person. Visit the top 10 apartments as well. Go at different times of day and night.
See if the traffic patterns will work with your schedule and destinations, or largely work against you. Those are just starting off points for you.