Limiting myself to Texas, okay?
In general, a white tail will hang around his birth area unless chased out. The primary range will be between some water source and a bedding area (generally thicker cover) and a feeding area. They will travel notable distances to some "goodies" like an oat patch. By and large, you're talking a few hundred acres at most. However, white tails are nosey, and will wander around their turf quite a bit, just checking who's doing what to whom.
West Texas mule deer have adapted to desert conditions. While a lactating doe must remain, generally, within a mile or less of water, a buck may travel much more than this. A doe without fawn, or a buck, may drink only once or twice a week. Once, if the vegetation is pretty moist. Since they tend to be more solitary than white tails, they travel longer distances. A problem is that they are lazier than white tails, and less curious. They are less often out in the open, "posing". Population density in the Davis Mountains, when the lions haven't gotten there first, runs around one deer to 60-100 acres. Down in south Brewster County, it can run one deer per 150-300 acres.
Where are you gonna be hunting?
Regards, Art