Zimbabwe is a very safe place to travel in. Violent crimes are rare and cases of petty crime are not common. Keep your personal belongs near as there are pickpocketers.
Criticism of the Zimbabwe government and its president is a punishable crime and avoid using your camera outside of tourist areas, near government buildings and civil servants. Ask your guide for advice on this.
Homosexual acts or displays of affection are illegal. Avoid walking at night in the cities and towns.
Zimbabweans are famous for being friendly. Be polite and you will be shown kindness.