There are lots of ways you can help people in Zimbabwe. There are many organisations doing meaningful work in Zimbabwe that you can support financially. When I went over there, I saw several of these ministries in action. One of this was being organised by a friend of ours in Zimbabwe who is in the process of establishing a home for abandoned babeies. To learn more about this go to www.abandonedzimbabies.org. Many other missional organisations are doing incredible work in Zimbabwe, and in other poor countries around the world. Getting behind these organisations is a great idea.
To find out about some mission work being done in Zimbabwe by the Australian Church of Christ. visit http://http://www.omb.org.au/omb/., then click on "partnerships", followed by "zimbabwe".
Also, pray. Pray for peace and stability in Zimbabwe, pray that children in Zimbabwe will be shown the love of Jesus Christ, pray that the rich and powerful in Zimbabwe will defend the rights of the poor and vulnerable, pray that ZImbabwe will be blessed with a just government.