No one is shocked when they see rabbits, squirrels, mice, chipmunks, frogs, deer, and birds in the suburbs. Yet, when their natural predators— even the smallest of them— exist in the same environment, it nearly always leads to someone requesting that they be moved somewhere they perceive as more appropriate.
Native predators like red foxes, grey foxes, bobcats, and coyotes are not displaced guests in the suburbs, but a normal part the landscape in our region, even in heavily populated areas, just like other familiar urban animals like robins and cottontails.
There is no habitat for any animal more suitable than the one is has already chosen. More remote territories are already filled to capacity with competitors, and sudden relocation is an instant death sentence for any predator.
If you’re fortunate enough to have foxes (or other natural exterminators!) controlling rodents in your neighborhood, there is no reason to kill, remove, or relocate them somewhere “better.” These animals are already right at home in their natural habitat.