There are a lot of tools available to search for available domain names, but if you are in the market for short names, NXDom is probably one of the best short domain finders. Just type the desired beginning letters and ending letters and let NXDom display available short domain names across various TLDs and ccTLDs including .com, .net, .org, .mobi, .name, .travel and many more.
You can customize your search by specifying how important type of characters, readablity and popularity of prefixes are for your domain name. NXDom allows you to do this customization through an easy to read matrix. For example, you can exclude domain names containing numbers from your search results by selecting the importance of without numbers as critical. You can also specify a domain name registrar to buy the names.