Mississippi is terrible. Don't move here.
Anywhere you are talking about is fine. It's all more or less the suburbs of Memphis/Shelby county. Each year, the population pushes farther into NW MS or east of Memphis so if you plan to be here a while, you might want to look at how close you are to the city limits. Shelby county is the tax cash cow for the city of Memphis so I don't know how much longer places like Germantown and Collierville can avoid the influence of Memphis politics.
If you want acreage, it will be pricey in those areas, but coming from California our property probably looks cheap.
Basically all of our news comes from Memphis so if you watch local TV, the first 3 or 4 stories will be about someone getting shot followed by some social justice. The funny thing I've noticed is that we don't hear much about what goes on in the rest of the state other than SEC sports. TV weather is a big thing here too. If there's a severe thunderstorm, then it'll be nonstop weather reporting until it moves out of the area. That isn't all bad because we get some nasty stuff from time to time. Sunday night we had some tornadoes and straight line winds that took out trees and power lines.
As far as shooting, there are outdoor ranges to the south in Como and to the North in Lakeland. Some indoor ranges out near I40 east.
Depending on what part of CA you are from, the landscape could be a shock. No mountains or beaches here. No rock-filled cool streams. And finally, the summer heat and mosquitos can be a challenge. No it isn't the same as 120 degrees in Phoenix, but 97 degrees with 70% humidity and no wind isn't pleasant.