As you said you are new for Knoxville city and here looking for bank of America branch , so on your demand here I am telling its address :

Bank of America Knoxville Main branch
550 W Main St
Knoxville, TN 37902
Financial Center Closed
Hours of Operation
9:00 a.m. - 4:00 p.m.
Monday - Thursday
9:00 a.m. - 5:00 p.m.
Friday
Closed
Saturday - Sunday
ATM Hours vary at this location

If you want more branches info of Bank of America here is process

Go to Bank of America official website

Click on go option which given under location section on the top side

By click there you will land on its branch location finder page which look like given below