It will depend on what your budget is but I always thought North Ogden, East Layton, and Farmington were very nice. Housing in Utah is pretty expensive right now due to high demand for limited properties and these neighborhoods are really no exception. If you are looking at a long-term home that will last you beyond your time at ATP and is closer to SLC, then West Jordan, Cottonwood heights, parts of Murray, and Bountiful are all great options. All of these areas are mid-range options…housing gets more expensive as you look further south towards Sandy, Draper, Lehi, and Harriman.
More affordable options are available in Ogden, Centerville, and West Valley. Ogden and West Valley have a bad reputation due to increased rates of crime but nice areas can be had for less money. I live in West Valley and I’m happy with our home and neighborhood. I’m not sure, however, that I would send my kids to school here. Gang related violent crime is common in West Valley and Ogden among adolescents and it starts in the high schools.
If you are okay with a small commute and want to get out of the city, Tooele and Stansbury Park are very nice and still have a smaller town feel.
Before you make plans to move to Utah, make sure you ask more questions about CFI availability at OGD. OGD is slow compared to Mesa, Arlington, and the Atlanta locations; consequently you may have a difficult time being assigned OGD and if you are, you may not be instructing as much as you hope. By the time you finish the program as a student, however, things may change at OGD and it may be very busy…who knows.
One other thing to consider if you are looking at SLC as your forever home: KSLC is a hub for Delta and SkyWest. At both of these Airlines, SLC is extremely senior so you should plan on commuting for a year or two as an FO at Skywest and significantly longer as a CA at SkyWest (the most junior SLC CA at SkyWest was hired in 2007). Commuting out of SLC is pretty easy, however, which opens up your options for regionals.
Good luck in your search,