Landslides are a risk for many homes in California, but most people aren't going to avoid homes where this is possible. There are some ways that you can protect your home, so speak to a professional about what options are present for your home. They should be able to give you an idea of how effective certain things that will be.
Sometimes, the answer to stopping landslides is building retaining walls. This isn't going to prevent larger landslides from occurring, but it might help keep the ground stable to help keep shifts from causing serious problems. These retaining walls must be shored up properly in order to be as effective as possible.
Another possibility is using outside drainage. Storm runoff can lead to sloped areas washing away. Unless you have a good drainage system for your home, you should try to minimize the amount of landscaping runoff on your property. Additionally, check the sewer and water lines to ensure they aren't leaking because even leaks can cause problems.
Adding ground cover to the slopes might help stabilize the soil and prevent movement. Since not all plants will accomplish this, you should consult a landscaper to find out which ones will work best for your area. At the least, this might help small slides from happening on your property.
Trying to keep your home safe often means putting your trust in professionals. While you hope that they are right, there is a chance that they might be incorrect. If your home suffers damage due to negligent advice from a professional, you might choose to seek compensation.