These are search engines designed for kids to use.  Remember to follow the "one step rule." 

Ask Jeeves for Kids
One of our favorite search engines. Just ask Jeeves a question and he'll help you run the search that will give you just what you're looking for.

Dib, Dab, Doo and Dilly Too
A silly name, but a great idea.  Searches over 2 million sites that have been seen by a human and deemed safe for you.

KidsClick Search Engine
A useful search engine that let's you search by ...

Kid Info Search Engine and Resources
Kid Info provides a lot of resources as well as a list of topics to search through.

Yahooligans!
One of the easiest search engines to use. Yahooligans will often give you pages they've designed to help kids do research.