Regarding removing statues from public places: What would be your criteria?

All over the US, there have been recent discussions about removing statues of historic figures, such as explorers, politicians and military officials, from public places. Some examples are Christopher Columbus, Teddy Roosevelt, and a bunch of military officials, based on their being slave owners or supporters of slavery, among other things.

If it were up to you, what do you think should be the criteria for removing or moving statues? Do you think the statues, or some of the statues, should remain and if so, why?