ResearcherID is a free website which lets you:
You may make your profile public or private.
For most accurate results: create a ResearcherID and add all your publications. You can then get your h-index automatically.
Basic search without a ResearcherID:
Sometimes other researchers cite your work incorrectly or cite works that are not themselves included in Web of Science (such as books). Doing a Cited Reference Search can help you find these: