We live in west knoxville in a large neighborhood called Farmington. Whenever I hear people complain about the lack of diversity in west knoxville, I laugh. Just amongst my neighbors there are 2 African American families, a Filipino family, a mixed race couple and the people who owned our house before us were Latino.
We also have great school zoning. Bluegrass elementary is walking distance and is the school the superintendent of schools chose to send his kids to. And the middle and high schools are also among the better in the city.
There are also 2 non/selective/delayed vax friendly peds within a mile.
There's a house across the street for sale
Fountain city has some nice things about it. My SIL lives there, but unless you choose exactly right, you can be zoned for pretty lousy schools. It also doesn't have a great "neighborhood" feeling to it, mostly through streets and no sidewalks. And getting organic groceries is an issue too, the stores there don't carry much if any.
Also, if the job were going to be in Oak Ridge, Fountain City is a hike. On the other hand, if the job's downtown, Fountain city is quite close. The school you want is Shannondale in Fountain City.