A lot of old money lives on Signal Mtn, newer money is on Lookout Mtn.
There's so much nice living around its difficult to know where to start. Hixon, Harrison, Ooltewah, Apison, Collegedale, all have a variety of Leave it to Beaver neighborhoods, large country wooded lots, upscale retirement, river homes or golf course living. There's also some great downtown city condo living. You will definitely want a realtor to show you around if you are serious because there is too many great properties you'll never find wandering around on your own.
Execs at VW said they picked this place for quality of living. They were right.
Oh almost forgot... Chattanooga Rifle Club is fantastic. And there's three indoor shooting ranges, Hixson, Chattanooga and Harrison which are all 5min from each other. We like guns here. We've got one of the biggest shopping malls and the main road through it is Gunbarrel.